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1)            Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 3 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?

 

 

2)         At the Dessert Island Pastry Cafe, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes. What is the ratio of brownies to donuts?

Write your answer as a simplified fraction.

Guest Oct 9, 2017
edited by Guest  Oct 9, 2017
edited by Guest  Oct 9, 2017
edited by Guest  Oct 9, 2017
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3+0 Answers

 #1
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CPhill please!!

Its been 1800 secounds!!!!!

and I need to go in like 10 secounds ......

i need you to compose quicker!!!!

not to be rude

Guest Oct 9, 2017
 #2
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+2

Let the amount of Alice's original money = A

 

Let the amount of Bob's original money = B

 

So

 

(A + n )* 3  =  (B - n)     → 3A + 3n  = B - n  →  3A - B  = -4n   (1)

 

(A - n) =  2 * ( B + n)  →  A - n  =  2B + 2n →  A - 2B  = 3n  (2)

 

Multiply the first equation by 3  and the second equation by 4  and add them together

 

9A -  3B  =  -12n

4A  - 8B =    12n

 

13A  - 11B  =  0     add 11B to both sides

 

13A  = 11B          divide both sides by 13, B

 

A / B  =  11 / 13

 

 

 At the Dessert Island Pastry Cafe, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes. What is the ratio of brownies to donuts?

 

2 cakes : 7 donuts      →   6 cakes : 21 donuts

 

3 cakes : 11 brownies  →  6 cakes : 22 brownies

 

22 brownies : 21 donuts

 

 

 

cool cool cool

CPhill  Oct 9, 2017
 #3
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CPhill number 1 is wrong!!!!! how could you do this to a fellow guest?????

Guest Oct 10, 2017

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