Michael, Elijah, Ben and Lee bought a dishwasher for their aunt. Michael paid
13 of what the rest paid. Elijah paid
15 of what the rest paid. Ben paid
16 of what the rest paid. Lee paid $48 more than Michael. How much did the dishwasher cost?
Michael |
Elijah |
Ben |
Lee |
Total |
1x21 |
|
|
|
4x21 |
|
1x14 |
|
|
6x14 |
|
|
1x12 |
|
7x12 |
21 u |
14 u |
12 u |
37 u |
84 u |
The cost of the dishwasher is repeated. Make the cost of the dishwasher the same. LCM of 4, 6 and 7 is 84.
Amount that Lee had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Lee paid more than Michael
= 37 u - 21 u
= 16 u
16 u = 48
1 u = 48 ÷ 16 = 3
Cost of the dishwasher
= 84 u
= 84 x 3
= $252
Answer(s): $252