Miss Wong bought two identical suitcases at a year-end sale. The two suitcases cost $174 after discount. Find the price of one such suitcase before discount. Ans: $___

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Worked solution

6

1. Find the discounted price of a single suitcase

Since the two identical suitcases cost $174 after the discount:
Discounted price of 1 suitcase=$1742=$87\text{Discounted price of 1 suitcase} = \frac{\$174}{2} = \$87

2. Relate the discounted price to the percentage of the original price

The year-end sale offers a 40% discount, meaning the customer pays 100%−40%=60%100\% - 40\% = 60\% of the original price.
60% of original price=$8760\% \text{ of original price} = \$87

3. Calculate the original price (before discount) of one suitcase

To find the original price (100%):
1% of original price=$8760=$1.451\% \text{ of original price} = \frac{\$87}{60} = \$1.45
Original price(100%)=$1.45×100=$145\text{Original price} (100\%) = \$1.45 \times 100 = \$145

Answer

$145

AI analysis — may contain mistakes.

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