BTGmoderatorDC wrote: ↑Mon Aug 17, 2020 6:47 pm
John, Steve, and Mary are buying a car with a list price of $24,000. John contributes three times as much as Steve, who contributes half as much as Mary. At the dealership, the trio buys the car and receives a 15% rebate. If they split the rebate funds proportional to each person's initial investment, how much more money does John receive back compared to Mary?
A. $400
B. $600
C. $1,200
D. $1,800
E. $3,60
John contributes three times as much as Steve, who contributes half as much as Mary.
J:S:M = 3:1:2
The parts of the ratio sum to 6:
3+1+2 = 6
The price of the car is 4000 times greater:
6*4000 = 24000
Thus, the multiplier for the ratio is 4000:
J = 3*4000 = 12000
S = 1*4000 = 4000
M = 2*4000 = 8000
The trio buys the car and receives a 15% rebate.
how much more money does John receive back compared to Mary?
John's discount = 15% of 12000 = 1800
Mary's discount = 15% of 8000 = 1200
Difference = 1800-1200 = 600
The correct answer is
B.
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