George, Ryan, Fabian and Harry paid a total of $99 for a gift. Harry paid
45 of what the rest paid. George paid 50% of what the rest paid. Ryan and Fabian paid an equal amount of money. How much did Fabian pay?
George |
Ryan |
Fabian |
Harry |
Total |
5x1 |
4x1 |
9x1 |
1x3 |
2x3 |
3x3 |
|
1 |
1 |
|
|
3 u |
1 u |
1 u |
4 u |
9 u |
50%=
50100=
12 George's share : Total share = 1 : 2
The total amount paid for the gift is repeated. Make the total amount the same. LCM of 9 and 3 is 9.
Amount that Ryan, Fabian and Harry paid = 6 u
Amount that Ryan and Fabian paid
= 6 u - 4 u
= 2 u
The amount that Ryan and Fabian each paid is the same.
Amount that Ryan and Fabian each paid
= 2 u ÷ 2
= 1 u
Cost of the gift = 9 u
9 u = 99
1 u = 99 ÷ 9 = 11
Amount that Fabian paid
= 1 u
= 1 x 11
= $11
Answer(s): $11