Linda bought 6 televisions and 8 muffin makers. Each television costs $374 more than each muffin maker. She spent 10% of her money on the muffin makers.
- How much did each television cost?
- How much did she spend altogether?
| |
Televisions |
Muffin makers |
Total |
| Number |
6 |
8 |
|
| Value |
1 u + $374 |
1 u |
|
| Total value |
6 u + $2244 |
8 u |
|
Comparing amounts
spent on televisions
and muffin makers |
90%
|
10% |
100% |
(a)
Amount that Linda spent on the televisions
= 6(1 u + 374)
= 6 u + 2244
Amount that Linda spent on the muffin makers
= 8 x 1 u
= 8 u
Amount that Linda spent on the televisions in percent
= 100% - 10%
= 90%
10% → 8 u
90% → 9 x 8 u = 72 u
72 u = 6 u + 2244
72 u - 6 u = 2244
66 u = 2244
1 u = 2244 ÷ 66 = 34
Cost of each television
= 34 + 374
= $408
(b)
100% → 8 u + 72 u = 80 u
Amount that Linda spent altogether
= 80 u
= 80 x 34
= $2720
Answer(s): (a) $408; (b) $2720
