Calculate Total Inventory: 50 Lollipops + (9×18) + (6×14) Boxes Problem

Multi-Step Multiplication with Inventory Addition

There are 50 lollipops in a sweet shop.

The shop then receives a delivery of 9 boxes that include 18 lollipops each, as well as 6 boxes containing 14 lollipops each.

How many lollipops are there now in the shop?

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Step-by-step written solution

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1

Understand the problem

There are 50 lollipops in a sweet shop.

The shop then receives a delivery of 9 boxes that include 18 lollipops each, as well as 6 boxes containing 14 lollipops each.

How many lollipops are there now in the shop?

2

Step-by-step solution

To solve this problem, we need to calculate the total number of lollipops currently in the shop.

1. Begin with the initial number of lollipops.
Initially, there are 50 lollipops in the shop.

2. Calculate the additional lollipops received from the delivery.
There are two sets of boxes delivered:

  • The first set contains 9 boxes, each having 18 lollipops. Therefore, the total number of lollipops from this set is calculated as: 9×189 \times 18.
  • The second set includes 6 boxes, each with 14 lollipops. Thus, the total number from this set is: 6×146 \times 14.

3. Compute the total lollipops from both sets:
Total lollipops from 9 boxes = 9×18=1629 \times 18 = 162.
Total lollipops from 6 boxes = 6×14=846 \times 14 = 84.

4. Add the lollipops from both deliveries to the initial count:
Total = Initial lollipops + Lollipops from 9 boxes + Lollipops from 6 boxes
=50+162+84= 50 + 162 + 84
=296= 296

Therefore, there are 296 lollipops in the shop now.

3

Final Answer

296

Key Points to Remember

Essential concepts to master this topic
  • Order of Operations: Calculate each multiplication separately before adding together
  • Technique: First find 9 × 18 = 162 and 6 × 14 = 84
  • Check: Verify total: 50 + 162 + 84 = 296 lollipops ✓

Common Mistakes

Avoid these frequent errors
  • Adding before multiplying
    Don't calculate 50 + 9 + 18 + 6 + 14 = 97! This ignores that each box contains multiple lollipops and gives a completely wrong total. Always multiply the number of boxes by lollipops per box first, then add all amounts together.

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't I just add all the numbers together?

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Because the 9 and 6 represent boxes, not individual lollipops! Each box contains multiple lollipops, so you must multiply first: 9 boxes × 18 lollipops per box = 162 total lollipops.

Do I need to use parentheses in my calculation?

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While not required, parentheses help organize your work: 50 + (9 × 18) + (6 × 14). This clearly shows you're multiplying first, then adding all the results together.

What if I forget one of the multiplication steps?

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Break the problem into parts! List each source:

  • Initial: 50 lollipops
  • First delivery: 9 × 18
  • Second delivery: 6 × 14
Then add all three amounts together.

How do I know which numbers to multiply?

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Look for groups and items per group. Here: 9 boxes (groups) with 18 lollipops each (items per group), and 6 boxes with 14 lollipops each. Always multiply groups × items per group.

Can I solve this problem in a different order?

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Yes! You can calculate 6×146 \times 14 first, then 9×189 \times 18. Addition is commutative, so 50 + 84 + 162 = 296 gives the same answer.

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