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

#3**+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

#1**+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**+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**+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