Bryan, Tom, Liam and Sam bought a refrigerator for their aunt. Bryan paid
13 of what the rest paid. Tom paid
15 of what the rest paid. Liam paid
16 of what the rest paid. Sam paid $64 more than Bryan. How much did the refrigerator cost?
| Bryan |
Tom |
Liam |
Sam |
Total |
| 1x21 |
|
|
|
4x21 |
| |
1x14 |
|
|
6x14 |
| |
|
1x12 |
|
7x12 |
| 21 u |
14 u |
12 u |
37 u |
84 u |
The cost of the refrigerator is repeated. Make the cost of the refrigerator the same. LCM of 4, 6 and 7 is 84.
Amount that Sam had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Sam paid more than Bryan
= 37 u - 21 u
= 16 u
16 u = 64
1 u = 64 ÷ 16 = 4
Cost of the refrigerator
= 84 u
= 84 x 4
= $336
Answer(s): $336
