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Bob,Clement,Dominic went to buy a gift.They shared the cost equally among themselves.However,Dominic did not bring any money.So,his friends paid for the gift first.The ratio of the amount Bob paid to the amount Clement paid was 4:5.The next day,Dominic returned $18.90 to Clement and some money to Bob.What is the cost of gift

Guest Jun 10, 2014

Best Answer 

 #3
avatar+91458 
+11

Rom, I think that you have made an error.

Dominic paid $18.90 plus some more.

They each have to pay 1/3 each.  It is easier to think of this as 3/9 each.

But Bob pays 4/9  and Clement pays 5/9

bob pays 3/9 for himself and 1/9 for Dominic.  Clement pays 3/9 for himself and 2/9 for Dominic.

This means that Dominic owes Bob 1/9 of the total and Clement 2/9 of the total

Dominic repays $18.90 to Clement.  This represents 2/9 of the total.

So 1/9 of the total must be 18.90/2 = $9.45

So the whole cost must have been $9.45*9=$85.05

Melody  Jun 10, 2014
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7+0 Answers

 #1
avatar+1792 
+6

Clement paid $18.90 which was 1/3 of the cost of the gift.

The gift costs 3x$18.90=$56.70

Rom  Jun 10, 2014
 #2
avatar+11757 
+6

Rom , could u just tell me that how did u know that Clement paid 1/3 of the cost of gift!and what use of the ratio 4:5 did u make ! i cant makeout how did u solve this question !

rosala  Jun 10, 2014
 #3
avatar+91458 
+11
Best Answer

Rom, I think that you have made an error.

Dominic paid $18.90 plus some more.

They each have to pay 1/3 each.  It is easier to think of this as 3/9 each.

But Bob pays 4/9  and Clement pays 5/9

bob pays 3/9 for himself and 1/9 for Dominic.  Clement pays 3/9 for himself and 2/9 for Dominic.

This means that Dominic owes Bob 1/9 of the total and Clement 2/9 of the total

Dominic repays $18.90 to Clement.  This represents 2/9 of the total.

So 1/9 of the total must be 18.90/2 = $9.45

So the whole cost must have been $9.45*9=$85.05

Melody  Jun 10, 2014
 #4
avatar+11757 
+6

that was such a wonderful and easy to understand answer ! after reading Roms answer i was also thinking that Rom left out that part and so it made hard to understand but now melody uve given the answer and ive understood it very well , thank u very much and a thumbs up too !

rosala  Jun 10, 2014
 #5
avatar+91458 
0

Thanks Rosala.

Melody  Jun 10, 2014
 #6
avatar+81027 
+5

Good job, Melody !!

 

CPhill  Jun 10, 2014
 #7
avatar+11757 
+6

ur welcome melody and yes chris she indeed did a good job !

rosala  Jun 10, 2014

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