Bobby, Ben, Asher and Nick bought a washing machine for their aunt. Bobby paid
13 of what the rest paid. Ben paid
14 of what the rest paid. Asher paid
15 of what the rest paid. Nick paid $16 more than Bobby. How much did the washing machine cost?
Bobby |
Ben |
Asher |
Nick |
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 Nick had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Nick paid more than Bobby
= 23 u - 15 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Cost of the washing machine
= 60 u
= 60 x 2
= $120
Answer(s): $120