Usha bought 4 home theater systems and 8 juicers. Each home theater system costs $330 more than each juicer. She spent 25% of her money on the juicers.
- How much did each home theater system cost?
- How much did she spend altogether?
| |
Home theater systems |
Juicers |
Total |
| Number |
4 |
8 |
|
| Value |
1 u + $330 |
1 u |
|
| Total value |
4 u + $1320 |
8 u |
|
Comparing amounts
spent on home theater systems
and juicers |
75%
|
25% |
100% |
(a)
Amount that Usha spent on the home theater systems
= 4(1 u + 330)
= 4 u + 1320
Amount that Usha spent on the juicers
= 8 x 1 u
= 8 u
Amount that Usha spent on the home theater systems in percent
= 100% - 25%
= 75%
25% → 8 u
75% → 3 x 8 u = 24 u
24 u = 4 u + 1320
24 u - 4 u = 1320
20 u = 1320
1 u = 1320 ÷ 20 = 66
Cost of each home theater system
= 66 + 330
= $396
(b)
100% → 8 u + 24 u = 32 u
Amount that Usha spent altogether
= 32 u
= 32 x 66
= $2112
Answer(s): (a) $396; (b) $2112
