zisis wrote:
Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 4 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?
A. 2y
B. 4y
C. 5y
D. 6y
E. 10y
You can also solve it by using easy numbers.
Anthony works for 14 days. Cindy works for 10 days. Say, the daily rate is $1/day which would mean that finally Anthony has $14 and finally Cindy has $10. Now it's obvious that they both would have received $12 and Cindy would have given Anthony $2 so that she would have $10 while Anthony would have $14.
So y = $2 (Amount given by Cindy to Anthony)
Advance paid to Anthony = $12 = 6*2 = 6y
Answer (D)
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