Dylan, Pierre, Liam and Will paid a total of $105 for a souvenir. Will paid
23 of what the rest paid. Dylan paid 50% of what the rest paid. Pierre and Liam paid an equal amount of money. How much did Liam pay?
| Dylan |
Pierre |
Liam |
Will |
Total |
| 3x3 |
2x3 |
5x3 |
| 1x5 |
2x5 |
3x5 |
| |
1 |
1 |
|
|
| 5 u |
2 u |
2 u |
6 u |
15 u |
50%=
50100=
12 Dylan'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 Pierre, Liam and Will paid = 10 u
Amount that Pierre and Liam paid
= 10 u - 6 u
= 4 u
The amount that Pierre and Liam each paid is the same.
Amount that Pierre and Liam each paid
= 4 u ÷ 2
= 2 u
Cost of the souvenir = 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Amount that Liam paid
= 2 u
= 2 x 7
= $14
Answer(s): $14
