Seth, Jeremy, Bobby and Bryan bought a notebook for their aunt. Seth paid
13 of what the rest paid. Jeremy paid
14 of what the rest paid. Bobby paid
15 of what the rest paid. Bryan paid $72 more than Seth. How much did the notebook cost?
Seth |
Jeremy |
Bobby |
Bryan |
Total |
1x15 |
|
|
|
4x15 |
|
1x12 |
|
|
5x12 |
|
|
1x10 |
|
6x10 |
15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the notebook is repeated. Make the cost of the notebook the same. LCM of 4, 5 and 6 is 60.
Amount that Bryan had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Bryan paid more than Seth
= 23 u - 15 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Cost of the notebook
= 60 u
= 60 x 9
= $540
Answer(s): $540