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Snap, Crackle, and Pop went to the mall for shopping. They shopped in three different shops X, Y, and Z. Snap bought two pairs of shoes, one belt, and two pairs of pants at X. Crackle bought one pair of shoes, one belt, and four pairs of pants at Y. Pop bought two pairs of shoes, three belts, and one pair of pants at Z. The price of each pair of pants at shop Z was 20% more compared to other shops, while the belts and shoes were the same price across the stores.

They each spent the same amount of money - R2 500. What was the price of each belt?
a) R300
b) R400
c) R500
d) R600

User Jagguli
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1 Answer

2 votes

Final answer:

To find the price of each belt, we need to determine the total cost of Snap, Crackle, and Pop's purchases and divide it by the number of belts they bought collectively. Each belt costs R147.06.

Step-by-step explanation:

To find the price of each belt, we need to determine the total cost of Snap, Crackle, and Pop's purchases and divide it by the number of belts they bought collectively.

Let's start by finding the total cost of each person's shopping:

  • Snap spent 2 pairs of shoes + 1 belt + 2 pairs of pants = 2 + 1 + 2 = 5 items.
  • Crackle spent 1 pair of shoes + 1 belt + 4 pairs of pants = 1 + 1 + 4 = 6 items.
  • Pop spent 2 pairs of shoes + 3 belts + 1 pair of pants = 2 + 3 + 1 = 6 items.

As we know that each person spent R2,500, we can divide this amount by the total number of items purchased:

  • Total cost per item: R2,500 / (5 + 6 + 6) = R2,500 / 17 = R147.06 (rounded to two decimal places)

Since the belts were the same price across all the stores, each belt costs R147.06.

Therefore, the answer is R147.06.

User Muhammad Saleh
by
6.8k points