shrive555 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

it's relatively an easy question but what i am interested in is, if this question has to be solve through Plug in or back solving method as the answer choices have fractions......

Let us back solve here. Lets start with C (Always start with C)

Allowance.....Arcade......Remaining.....Toy Store.....Remaining

A. 2.40

B. 3.00

C. 3.20.........1.92.........1.28..............1.28/3 - Weird number

D. 3.60.........................1.44..............0.48..............0.96 - we were supposed to get 0.80 however we got a bigger number so move up

E. 4.80

A. 2.40

B. 3.00.........................1.2.................4.................0.8 (BINGO)

C. 3.20.........1.92.........1.28..............1.28/3 - Weird number

D. 3.60.........................1.44..............0.48..............0.96 - we were supposed to get 0.80 however we got a bigger number so move up

E. 4.80

Hence our answer is B

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