Julian, Nick, Ethan and David bought a dishwasher for their aunt. Julian paid
13 of what the rest paid. Nick paid
15 of what the rest paid. Ethan paid
17 of what the rest paid. David paid $25 more than Julian. How much did the dishwasher cost?
Julian |
Nick |
Ethan |
David |
Total |
1x6 |
|
|
|
4x6 |
|
1x4 |
|
|
6x4 |
|
|
1x3 |
|
8x3 |
6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the dishwasher is repeated. Make the cost of the dishwasher the same. LCM of 4, 6 and 8 is 24.
Amount that David had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that David paid more than Julian
= 11 u - 6 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
Cost of the dishwasher
= 24 u
= 24 x 5
= $120
Answer(s): $120