Justin, Dylan, Glen and Ben bought a washing machine for their aunt. Justin paid
13 of what the rest paid. Dylan paid
15 of what the rest paid. Glen paid
16 of what the rest paid. Ben paid $64 more than Justin. How much did the washing machine cost?
| Justin |
Dylan |
Glen |
Ben |
Total |
| 1x21 |
|
|
|
4x21 |
| |
1x14 |
|
|
6x14 |
| |
|
1x12 |
|
7x12 |
| 21 u |
14 u |
12 u |
37 u |
84 u |
The cost of the washing machine is repeated. Make the cost of the washing machine the same. LCM of 4, 6 and 7 is 84.
Amount that Ben had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Ben paid more than Justin
= 37 u - 21 u
= 16 u
16 u = 64
1 u = 64 ÷ 16 = 4
Cost of the washing machine
= 84 u
= 84 x 4
= $336
Answer(s): $336
