Peter, David, Archie and Sam bought a washing machine for their aunt. Peter paid
13 of what the rest paid. David paid
15 of what the rest paid. Archie paid
17 of what the rest paid. Sam paid $40 more than Peter. How much did the washing machine cost?
Peter |
David |
Archie |
Sam |
Total |
1x6 |
|
|
|
4x6 |
|
1x4 |
|
|
6x4 |
|
|
1x3 |
|
8x3 |
6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the washing machine is repeated. Make the cost of the washing machine the same. LCM of 4, 6 and 8 is 24.
Amount that Sam had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Sam paid more than Peter
= 11 u - 6 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Cost of the washing machine
= 24 u
= 24 x 8
= $192
Answer(s): $192