Carl, Caden, Asher and John bought a notebook for their aunt. Carl paid
13 of what the rest paid. Caden paid
14 of what the rest paid. Asher paid
16 of what the rest paid. John paid $132 more than Carl. How much did the notebook cost?
Carl |
Caden |
Asher |
John |
Total |
1x35 |
|
|
|
4x35 |
|
1x28 |
|
|
5x28 |
|
|
1x20 |
|
7x20 |
35 u |
28 u |
20 u |
57 u |
140 u |
The cost of the notebook is repeated. Make the cost of the notebook the same. LCM of 4, 5 and 7 is 140.
Amount that John had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that John paid more than Carl
= 57 u - 35 u
= 22 u
22 u = 132
1 u = 132 ÷ 22 = 6
Cost of the notebook
= 140 u
= 140 x 6
= $840
Answer(s): $840