Examples with solutions for Vertical Multiplication: Worded problems

Exercise #1

Sarah wraps 9 gifts per day, how many gifts does she wrap in 23 days?

Video Solution

Step-by-Step Solution

To determine how many gifts Sarah wraps in 23 days, we need to calculate the total number of gifts by multiplying the number of gifts she wraps each day by the total number of days.

  • Step 1: Identify the number of gifts Sarah wraps each day. In this case, Sarah wraps 99 gifts per day.
  • Step 2: Identify the total number of days which is given as 2323.
  • Step 3: Apply the multiplication formula to find the total number of gifts:

Total Gifts=(Gifts per day)×(Number of days) \text{Total Gifts} = (\text{Gifts per day}) \times (\text{Number of days})

Substitute the numbers into the formula:

Total Gifts=9×23 \text{Total Gifts} = 9 \times 23

Now, calculate the result:

9×23=207 9 \times 23 = 207

Therefore, Sarah wraps a total of 207 207 gifts over the course of 23 days.

Answer

207 207

Exercise #2

If Sonia wraps 7 gifts per hour, then how many gifts does she wrap in 20 hours?

Video Solution

Step-by-Step Solution

To determine how many gifts Sonia wraps in 20 hours when she wraps 7 gifts per hour, we will calculate as follows:

  • Step 1: Identify the rate: 7 7 gifts per hour.
  • Step 2: Identify the time duration: 20 20 hours.
  • Step 3: Use the formula: Total number of gifts = (Number of gifts per hour) × (Number of hours).
  • Step 4: Perform the calculation: 7 gifts/hour×20 hours=140 gifts 7 \text{ gifts/hour} \times 20 \text{ hours} = 140 \text{ gifts} .

Therefore, Sonia wraps 140 140 gifts in 20 hours.

Comparing this result with the provided choices, we determine that the correct choice is: 140 140 .

Answer

140 140

Exercise #3

If Sarah wraps 7 gifts per day, how many gifts can she wrap in 14 days?

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Use the multiplication formula to find the total number of gifts wrapped.
  • Step 3: Compute the total using the given data.

Now, let's work through each step:

Step 1: The problem states that Sarah wraps 7 gifts per day, and we want to find the total for 14 days.

Step 2: We use the formula for total gifts wrapped, which is given by:

Total gifts=(gifts per day)×(number of days) \text{Total gifts} = (\text{gifts per day}) \times (\text{number of days})

Step 3: Plugging the values into the formula, we get:

Total gifts=7×14 \text{Total gifts} = 7 \times 14

This results in:

Total gifts=98 \text{Total gifts} = 98

Therefore, the solution to the problem is 98 98 .

Answer

98 98

Exercise #4

Diego plants 5 flowers every day.

How many flowers does Diego plant in 31 days?

Video Solution

Step-by-Step Solution

To determine the number of flowers Diego plants in 31 days, we employ the following straightforward approach using multiplication:

Given:

  • Diego plants 55 flowers each day.
  • We are considering a total span of 3131 days.

The formula to find the total number of flowers Diego plants is:

Total flowers=(Flowers per day)×(Number of days) \text{Total flowers} = (\text{Flowers per day}) \times (\text{Number of days})

Substituting the values into the formula, we have:

Total flowers=5×31 \text{Total flowers} = 5 \times 31

Now, perform the multiplication:

5×31=155 5 \times 31 = 155

Therefore, Diego plants a total of 155\mathbf{155} flowers over a 31-day period.

Checking the answer against the choices, we see that the correct option is choice 2: 155155.

Answer

155 155

Exercise #5

A bakery sells 51 muffins in one hour.

How many do they sell in 8 hours?

Video Solution

Step-by-Step Solution

To solve this problem, we'll determine the total number of muffins sold in 8 hours using the given hourly rate.

  • Step 1: Identify the given information: The bakery sells 51 muffins in one hour, and we need to calculate for 8 hours.
  • Step 2: Use the multiplication formula: Total muffins=Muffins per hour×Number of hours \text{Total muffins} = \text{Muffins per hour} \times \text{Number of hours}
  • Step 3: Perform the multiplication: 51 muffins/hour×8 hours=408 muffins 51 \text{ muffins/hour} \times 8 \text{ hours} = 408 \text{ muffins}

Thus, the total number of muffins sold in 8 hours is 408 408 .

Answer

408 408

Exercise #6

If a restaurant sells 81 falafel pitas per day, then how many are sold in 10 days?

Video Solution

Step-by-Step Solution

To solve this problem, we will determine the total number of falafel pitas sold over a 10-day period.

  • Step 1: Identify the daily sales and the total number of days.
    Given: Daily sales = 81 81 falafel pitas, Number of days = 10 10 .

  • Step 2: Apply the multiplication formula.
    Total Sales = Daily Sales × Number of Days = 81×10 81 \times 10 .

  • Step 3: Perform the multiplication.
    Calculate 81×10=810 81 \times 10 = 810 .

Therefore, the total number of falafel pitas sold in 10 days is 810 810 .

Answer

810 810

Exercise #7

Darío eats 3 cookies per minute.

How many cookies does Darío eat in an hour?

Video Solution

Step-by-Step Solution

To solve this problem, we'll go through the following steps:

  • Step 1: Convert the time from hours to minutes.
  • Step 2: Calculate the total number of cookies eaten using the rate of eating.

Now, let's work through each step:

Step 1: Convert the time from hours to minutes. Since there are 60 minutes in an hour, the time span in minutes is 60 60 minutes.

Step 2: Calculate the total number of cookies. Darío's eating rate is 3 3 cookies per minute. Multiply the eating rate by the total time in minutes to find the total number of cookies eaten:

3 cookies/minute×60 minutes=180 cookies 3 \text{ cookies/minute} \times 60 \text{ minutes} = 180 \text{ cookies}

Therefore, Darío eats a total of 180 180 cookies in one hour.

This matches the given correct answer choice. Thus, the solution to the problem is 180 180 .

Answer

180 180

Exercise #8

Danny drinks three glasses of water per hour.

How many glasses of water does Danny drink in 13 hours?

Video Solution

Step-by-Step Solution

The problem requires us to find out how many glasses of water Danny drinks in 13 hours given he drinks 3 glasses per hour. Our task is to multiply the number of glasses Danny drinks per hour by the number of hours he continues this rate.

  • Step 1: Identify the rate: Danny drinks 3 glasses per hour.
  • Step 2: Determine the duration: 13 hours.
  • Step 3: Apply multiplication to find the total glasses consumed:

To find the total number of glasses:

Total glasses=3(glasses per hour)×13(hours) \text{Total glasses} = 3 \, (\text{glasses per hour}) \times 13 \, (\text{hours})

Calculating the product:

3×13=39 3 \times 13 = 39

Therefore, Danny drinks a total of 39 glasses of water over the span of 13 hours.

Answer

39 39

Exercise #9

A restaurant sells 95 falafel pitas per day. How many do they sell in 5 days?

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the appropriate multiplication formula.
  • Step 3: Perform the necessary calculations to find the total number of pitas sold.

Now, let's work through each step:
Step 1: We know the restaurant sells 95 falafel pitas per day.
Step 2: We need to find out how many are sold in 5 days, so we use the formula:
Total pitas sold=Pitas per day×Number of days\text{Total pitas sold} = \text{Pitas per day} \times \text{Number of days}
Step 3: Plugging in our values, we perform the multiplication:
Total pitas sold=95×5=475\text{Total pitas sold} = 95 \times 5 = 475

Therefore, the total number of falafel pitas sold in 5 days is 475 475 .

Answer

475 475

Exercise #10

Daniel prepares 3 meals every day.

How many meals does Daniel prepare in 17 days?

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the number of meals Daniel prepares per day, which is given as 3.
  • Step 2: Identify the total number of days, which is given as 17.
  • Step 3: Multiply the number of meals per day by the number of days to find the total meals.

Now, let's work through each step:
Step 1: Daniel prepares 3 3 meals per day.
Step 2: We are considering a total of 17 17 days.
Step 3: Calculate the total number of meals by multiplying:
Total meals=3×17\text{Total meals} = 3 \times 17

Carrying out the multiplication:
3×17=513 \times 17 = 51

Therefore, Daniel prepares a total of 51 51 meals over 17 days.

Answer

51 51

Exercise #11

Mark drinks 5 cups of tea a day.

How many cups of tea does Mariano drink in a year?

Video Solution

Step-by-Step Solution

To solve this problem, we will calculate the total number of cups Mariano drinks in a year:

  • Step 1: Identify the number of cups Mariano drinks per day, which is given as 5 cups.

  • Step 2: Identify the number of days in a year, generally considered to be 365 days.

  • Step 3: Multiply the daily consumption by the number of days in a year: 5×365 5 \times 365 .

Performing the calculation:
5×365=1825 5 \times 365 = 1825 .

Therefore, Mariano drinks a total of 1825 cups of tea in a year. This corresponds to choice number 2: \text{ \( 1825 } \).

Answer

1825 1825

Exercise #12

Ariel reads 3 books every day. How many books does Ariel read per month?

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the multiplication method to find the monthly total.
  • Step 3: Verify our calculation to ensure accuracy.

Now, let's work through each step:

Step 1: Ariel reads 3 books every day.

Step 2: Assume a month has 30 days as a typical average. To find out how many books Ariel reads per month, we can multiply the number of books read daily by the number of days in a month.

The calculation is: 3×303 \times 30.

Step 3: Performing the multiplication gives us:

3×30=903 \times 30 = 90.

Thus, Ariel reads a total of 90 books in a month.

Therefore, the solution to the problem is 90 90 .

Answer

90 90

Exercise #13

Sonia buys 5 meals.

The price of each meal is $43.

How much does Sonia pay in total?

Video Solution

Step-by-Step Solution

To solve this problem, we'll calculate the total cost by multiplying the number of meals by the cost of each meal:

  • Step 1: Identify the given information: Sonia buys 5 meals, and each meal costs 43.

  • Step 2: Multiply the number of meals by the price per meal to determine the total cost.

Now, let's perform the calculation:
Sonia buys \( 5 meals, and each costs \43 \). Therefore, the total cost is:

Total Cost=5×43 \text{Total Cost} = 5 \times 43

We calculate:

5×43=215 5 \times 43 = 215

Therefore, Sonia pays a total of $215 for the 5 meals.

Since the multiple-choice option that matches our solution is choice 2, we confirm that the correct answer is \215 \).

Answer

$215