Find x: Calculate Cucumber Price per kg Given $2.8/kg Tomatoes

Question

1 kg of tomatoes costs 2.8.<br><br>Maggiebuys2kgoftomatoesand0.6kgofcucumbers,costingatotalof2.8.<br><br>Maggie buys 2 kg of tomatoes and 0.6 kg of cucumbers, costing a total of 7.1.

Express the value per kg of cucumbers in terms of x x (in dollars).

Video Solution

Solution Steps

00:00 Find X
00:03 Price per kg of tomatoes
00:09 We'll buy 2 kg of tomatoes
00:13 Amount of cucumbers in kg
00:16 Let's mark the price of cucumbers per kg using the unknown X
00:22 The total amount paid
00:29 Solve each multiplication separately
00:39 Let's arrange the equation so that one side has only the unknown X
00:53 Isolate X
00:58 And this is the solution to the question

Step-by-Step Solution

To solve for the price per kg of cucumbers, follow these steps:

  • Step 1: Determine the total cost of tomatoes.
    Given that the cost of tomatoes is 2.8 per kg, and Maggie buys 2 kg, the cost of tomatoes is calculated as:
    \( 2 \, \text{kg} \times 2.8 \, \text{dollars/kg} = 5.6 \, \text{dollars} .

  • Step 2: Write the equation for total cost.
    The total cost for tomatoes and cucumbers combined is given as 7.1. Let \( x represent the cost per kg of cucumbers. The equation representing the total cost is:
    5.6+0.6x=7.1 5.6 + 0.6x = 7.1 .

  • Step 3: Solve the equation for x x .
    Subtract the cost of tomatoes from both sides of the equation to find the cost of cucumbers:
    0.6x=7.15.6 0.6x = 7.1 - 5.6 .
    Simplifying the right side gives:
    0.6x=1.5 0.6x = 1.5 .

  • Step 4: Isolate x x by dividing both sides by 0.6:
    x=1.50.6 x = \frac{1.5}{0.6} .
    Simplify the division to find x x :
    x=2.5 x = 2.5 .

Therefore, the value per kg of cucumbers is x=2.5 x = 2.5 dollars.

Answer

x=2.5 x=2.5