Brandon, Caden, Ahmad and Ian bought a portable air-conditioner for their aunt. Brandon paid
13 of what the rest paid. Caden paid
15 of what the rest paid. Ahmad paid
17 of what the rest paid. Ian paid $10 more than Brandon. How much did the portable air-conditioner cost?
Brandon |
Caden |
Ahmad |
Ian |
Total |
1x6 |
|
|
|
4x6 |
|
1x4 |
|
|
6x4 |
|
|
1x3 |
|
8x3 |
6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the portable air-conditioner is repeated. Make the cost of the portable air-conditioner the same. LCM of 4, 6 and 8 is 24.
Amount that Ian had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Ian paid more than Brandon
= 11 u - 6 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Cost of the portable air-conditioner
= 24 u
= 24 x 2
= $48
Answer(s): $48