Archie, Tom, Albert and Brandon bought a computer for their aunt. Archie paid
13 of what the rest paid. Tom paid
14 of what the rest paid. Albert paid
16 of what the rest paid. Brandon paid $154 more than Archie. How much did the computer cost?
Archie |
Tom |
Albert |
Brandon |
Total |
1x35 |
|
|
|
4x35 |
|
1x28 |
|
|
5x28 |
|
|
1x20 |
|
7x20 |
35 u |
28 u |
20 u |
57 u |
140 u |
The cost of the computer is repeated. Make the cost of the computer the same. LCM of 4, 5 and 7 is 140.
Amount that Brandon had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Brandon paid more than Archie
= 57 u - 35 u
= 22 u
22 u = 154
1 u = 154 ÷ 22 = 7
Cost of the computer
= 140 u
= 140 x 7
= $980
Answer(s): $980