Priya had some savings. She spent 2/7 of her savings on books and 3/5 of the remainder on clothes. She had $252 left. How much did Priya save at first?
Show Worked Solution
Worked Solution
Step 1: Find the fraction of savings remaining after buying books.
Fraction remaining = 1 - 2/7 = 5/7
Step 2: Find the fraction of savings remaining after buying clothes.
Fraction remaining after clothes = 1 - 3/5 = 2/5
Fraction of original savings left = 2/5 x 5/7 = 10/35 = 2/7
Step 3: Use the remainder to find the original savings.
2/7 of S = $252
S = $252 x 7/2 = $252 x 7 / 2 = $1764 / 2 = $882
Verification: After books: 5/7 x $882 = $630. After clothes: 2/5 x $630 = $252. Check.
Correct answer: $882
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free