Fred, Elijah, Perry and Bryan bought a dishwasher for their aunt. Fred paid
13 of what the rest paid. Elijah paid
14 of what the rest paid. Perry paid
16 of what the rest paid. Bryan paid $220 more than Fred. How much did the dishwasher cost?
Fred |
Elijah |
Perry |
Bryan |
Total |
1x35 |
|
|
|
4x35 |
|
1x28 |
|
|
5x28 |
|
|
1x20 |
|
7x20 |
35 u |
28 u |
20 u |
57 u |
140 u |
The cost of the dishwasher is repeated. Make the cost of the dishwasher the same. LCM of 4, 5 and 7 is 140.
Amount that Bryan had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Bryan paid more than Fred
= 57 u - 35 u
= 22 u
22 u = 220
1 u = 220 ÷ 22 = 10
Cost of the dishwasher
= 140 u
= 140 x 10
= $1400
Answer(s): $1400