Eric, Elijah, Vincent and Pierre bought a washing machine for their aunt. Eric paid
13 of what the rest paid. Elijah paid
14 of what the rest paid. Vincent paid
15 of what the rest paid. Pierre paid $24 more than Eric. How much did the washing machine cost?
Eric |
Elijah |
Vincent |
Pierre |
Total |
1x15 |
|
|
|
4x15 |
|
1x12 |
|
|
5x12 |
|
|
1x10 |
|
6x10 |
15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the washing machine is repeated. Make the cost of the washing machine the same. LCM of 4, 5 and 6 is 60.
Amount that Pierre had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Pierre paid more than Eric
= 23 u - 15 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
Cost of the washing machine
= 60 u
= 60 x 3
= $180
Answer(s): $180