Wendy bought 5 home theater systems and 7 juicers. Each home theater system costs $368 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 |
5 |
7 |
|
Value |
1 u + $368 |
1 u |
|
Total value |
5 u + $1840 |
7 u |
|
Comparing amounts spent on home theater systems and juicers |
75%
|
25% |
100% |
(a)
Amount that Wendy spent on the home theater systems
= 5(1 u + 368)
= 5 u + 1840
Amount that Wendy spent on the juicers
= 7 x 1 u
= 7 u
Amount that Wendy spent on the home theater systems in percent
= 100% - 25%
= 75%
25% → 7 u
75% → 3 x 7 u = 21 u
21 u = 5 u + 1840
21 u - 5 u = 1840
16 u = 1840
1 u = 1840 ÷ 16 = 115
Cost of each home theater system
= 115 + 368
= $483
(b)
100% → 7 u + 21 u = 28 u
Amount that Wendy spent altogether
= 28 u
= 28 x 115
= $3220
Answer(s): (a) $483; (b) $3220