Ahmad, Luke, Ben and Jenson paid a total of $135 for a souvenir. Jenson paid
23 of what the rest paid. Ahmad paid 50% of what the rest paid. Luke and Ben paid an equal amount of money. How much did Ben pay?
| Ahmad |
Luke |
Ben |
Jenson |
Total |
| 3x3 |
2x3 |
5x3 |
| 1x5 |
2x5 |
3x5 |
| |
1 |
1 |
|
|
| 5 u |
2 u |
2 u |
6 u |
15 u |
50%=
50100=
12 Ahmad's share : Total share = 1 : 2
The total amount paid for the souvenir is repeated. Make the total amount the same. LCM of 5 and 3 is 15.
Amount that Luke, Ben and Jenson paid = 10 u
Amount that Luke and Ben paid
= 10 u - 6 u
= 4 u
The amount that Luke and Ben each paid is the same.
Amount that Luke and Ben each paid
= 4 u ÷ 2
= 2 u
Cost of the souvenir = 15 u
15 u = 135
1 u = 135 ÷ 15 = 9
Amount that Ben paid
= 2 u
= 2 x 9
= $18
Answer(s): $18
