Natalie bought 2 home theater systems and 9 deep fryers. Each home theater system costs $325 more than each deep fryer. She spent 25% of her money on the deep fryers.
- How much did each home theater system cost?
- How much did she spend altogether?
| |
Home theater systems |
Deep fryers |
Total |
| Number |
2 |
9 |
|
| Value |
1 u + $325 |
1 u |
|
| Total value |
2 u + $650 |
9 u |
|
Comparing amounts
spent on home theater systems
and deep fryers |
75%
|
25% |
100% |
(a)
Amount that Natalie spent on the home theater systems
= 2(1 u + 325)
= 2 u + 650
Amount that Natalie spent on the deep fryers
= 9 x 1 u
= 9 u
Amount that Natalie spent on the home theater systems in percent
= 100% - 25%
= 75%
25% → 9 u
75% → 3 x 9 u = 27 u
27 u = 2 u + 650
27 u - 2 u = 650
25 u = 650
1 u = 650 ÷ 25 = 26
Cost of each home theater system
= 26 + 325
= $351
(b)
100% → 9 u + 27 u = 36 u
Amount that Natalie spent altogether
= 36 u
= 36 x 26
= $936
Answer(s): (a) $351; (b) $936
