Priya had some savings. She spent 2/5 of her savings on books at the school bookshop. She then gave 1/2 of the remainder to her younger sister. After that, she had $54 left. How much were Priya's savings?
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Worked Solution
Step 1: Find the fraction of savings remaining after buying books.
Spent 2/5, so remainder = 1 - 2/5 = 3/5 of savings.
Step 2: Find the fraction remaining after giving to sister.
Gave away 1/2 of remainder, so kept 1/2 of 3/5 = 3/10 of savings.
Step 3: Use the final amount to find total savings.
3/10 x S = $54
S = $54 / (3/10) = $54 x 10/3 = $180
Answer: Priya's savings = $180
Correct answer: $180
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