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
OA B
Source: Magoosh
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of
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Let w = John’s weekly allowanceBTGmoderatorDC wrote: ↑Fri Dec 30, 2022 7:14 amHaving 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
OA B
Source: Magoosh
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade
If 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 store
If 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 REMAINING
So (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
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Solution:BTGmoderatorDC wrote: ↑Fri Dec 30, 2022 7:14 amHaving 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
OA B
Source: Magoosh
We can let n = the weekly allowance and create the equation:
(3/5)n + 1/3(2/5)n + 0.8 = n
3n/5 + 2n/15 + 0.8 = n
Multiplying by 15, we have:
9n + 2n + 12 = 15n
12 = 4n
3 = n
Answer: B
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