Andy, Neave, George and Justin bought a home theater system for their aunt. Andy paid
13 of what the rest paid. Neave paid
15 of what the rest paid. George paid
16 of what the rest paid. Justin paid $80 more than Andy. How much did the home theater system cost?
| Andy |
Neave |
George |
Justin |
Total |
| 1x21 |
|
|
|
4x21 |
| |
1x14 |
|
|
6x14 |
| |
|
1x12 |
|
7x12 |
| 21 u |
14 u |
12 u |
37 u |
84 u |
The cost of the home theater system is repeated. Make the cost of the home theater system the same. LCM of 4, 6 and 7 is 84.
Amount that Justin had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Justin paid more than Andy
= 37 u - 21 u
= 16 u
16 u = 80
1 u = 80 ÷ 16 = 5
Cost of the home theater system
= 84 u
= 84 x 5
= $420
Answer(s): $420
