Anthony and Cindy were each given x dollars in advance to pe

Question

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

A. 2y
B. 4y
C. 5y
D. 6y
E. 10y

shrouded1 · Accepted Answer

We know that

(X+y)/14 = (x-y)/10 (equating the money per day)
So 4x = 24y OR x=6y

KarishmaB · Answer

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)

ankitranjan · Answer

Anthony performed for 14 days meansw Cindy performed for(14-4)=10 days.

If Cindy gives y dollars to Anthony their Daily rate will be equal.It means

(x+y)/14=(x-y)/10
Solving we get, x=6y

Now Anthony's Advance is x=6y .So answer should be D.

Consider KUDOS if you like the explanation.

shrouded1 · Answer

Anthony performed for 14 days, and Cindy for 10 days. Cindy gives Anthony y dollars to make the daily rate equal.
Anthony's rate = Cindy's rate
(x+y)/14=(x-y)/10
10x+10y=14x-14y
4x=24y
x=4y

Answer is (d)

Bunuel · Answer

This is a "stolen" question from OG: Discussed here: john-and-mary-were-each-paid-x-dollars-in-advance-to-do-a-144782.html All OG13 questions with solutions are here: the-official-guide-quantitative-question-directory-143450.html

Bunuel · Answer

The amount Cindy has in the end is x-y dollars and she worked for 10 days;
The amount Anthony has in the end is x+y dollars and he worked for 14 days;

We are told that in this case their daily rate was the same:  daily \ rate=\frac{payment}{# \ of \ days \ worked}=\frac{x-y}{10}=\frac{x+y}{14} , from  \frac{x-y}{10}=\frac{x+y}{14}  we get that  x=6y .

Answer: D.

PareshGmat · Answer

Answer = D. 6Y

.................................. Anthony .............................. Cindy

Initial Pay .................... x ............................................ x

Days worked .............. 14 ............................................ 10

Funds adjusted ........... x+y ........................................... x-y

Per day ....................  \frac{x+y}{14}  .........................................  \frac{x-y}{10}

Given that per day wages of both are same

\frac{x+y}{14} = \frac{x-y}{10}

x = 6y

keykers1 · Answer

I think you might've gotten your math wrong towards the end.

24y=4x; 6y=x; Answer is D

bumpbot · Answer

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Anthony and Cindy were each given x dollars in advance to pe

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