Xavier, Ian, Warren and Ethan bought a dishwasher for their aunt. Xavier paid
13 of what the rest paid. Ian paid
14 of what the rest paid. Warren paid
15 of what the rest paid. Ethan paid $40 more than Xavier. How much did the dishwasher cost?
Xavier |
Ian |
Warren |
Ethan |
Total |
1x15 |
|
|
|
4x15 |
|
1x12 |
|
|
5x12 |
|
|
1x10 |
|
6x10 |
15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the dishwasher is repeated. Make the cost of the dishwasher the same. LCM of 4, 5 and 6 is 60.
Amount that Ethan had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Ethan paid more than Xavier
= 23 u - 15 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Cost of the dishwasher
= 60 u
= 60 x 5
= $300
Answer(s): $300