Ahmad, Ian, Zane and Brandon bought a washing machine for their aunt. Ahmad paid
13 of what the rest paid. Ian paid
14 of what the rest paid. Zane paid
15 of what the rest paid. Brandon paid $16 more than Ahmad. How much did the washing machine cost?
| Ahmad |
Ian |
Zane |
Brandon |
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 Brandon had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Brandon paid more than Ahmad
= 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
