Carcass wrote:
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John’s weekly allowance?
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math BookLet w = John’s weekly allowance
Having received his weekly allowance, John spent 3/5 of his allowance at the arcadeIf John spent 3/5 of his allowance, then he has
2/5 REMAINING
So, (
2/5)(w) = allowance REMAINING
The next day he spent one third of his remaining allowance at the toy storeIf he spent 1/3, then he has
2/3 REMAINING
So, (
2/3)(
2/5)(w) = allowance REMAINING
Once all of this is done, John has $0.80 REMAININGSo (
2/3)(
2/5)(w) = 0.8
Simplify: (4/15)(w) = 0.8
Multiply both sides by 15 to get: 4w = 12
Divide both sides by 4 to get: w = 3
Answer: B
Cheers,
Brent