Jade bought 8 home theater systems and 10 kettles. Each home theater system costs $341 more than each kettle. She spent 25% of her money on the kettles.
- How much did each home theater system cost?
- How much did she spend altogether?
|
Home theater systems |
Kettles |
Total |
Number |
8 |
10 |
|
Value |
1 u + $341 |
1 u |
|
Total value |
8 u + $2728 |
10 u |
|
Comparing amounts spent on home theater systems and kettles |
75%
|
25% |
100% |
(a)
Amount that Jade spent on the home theater systems
= 8(1 u + 341)
= 8 u + 2728
Amount that Jade spent on the kettles
= 10 x 1 u
= 10 u
Amount that Jade spent on the home theater systems in percent
= 100% - 25%
= 75%
25% → 10 u
75% → 3 x 10 u = 30 u
30 u = 8 u + 2728
30 u - 8 u = 2728
22 u = 2728
1 u = 2728 ÷ 22 = 124
Cost of each home theater system
= 124 + 341
= $465
(b)
100% → 10 u + 30 u = 40 u
Amount that Jade spent altogether
= 40 u
= 40 x 124
= $4960
Answer(s): (a) $465; (b) $4960