Sarah bought 2 televisions and 6 muffin makers. Each television costs $440 more than each muffin maker. She spent 20% of her money on the muffin makers.
- How much did each television cost?
- How much did she spend altogether?
| |
Televisions |
Muffin makers |
Total |
| Number |
2 |
6 |
|
| Value |
1 u + $440 |
1 u |
|
| Total value |
2 u + $880 |
6 u |
|
Comparing amounts
spent on televisions
and muffin makers |
80%
|
20% |
100% |
(a)
Amount that Sarah spent on the televisions
= 2(1 u + 440)
= 2 u + 880
Amount that Sarah spent on the muffin makers
= 6 x 1 u
= 6 u
Amount that Sarah spent on the televisions in percent
= 100% - 20%
= 80%
20% → 6 u
80% → 4 x 6 u = 24 u
24 u = 2 u + 880
24 u - 2 u = 880
22 u = 880
1 u = 880 ÷ 22 = 40
Cost of each television
= 40 + 440
= $480
(b)
100% → 6 u + 24 u = 30 u
Amount that Sarah spent altogether
= 30 u
= 30 x 40
= $1200
Answer(s): (a) $480; (b) $1200
