Yoko bought 2 televisions and 8 hand blenders. Each television costs $255 more than each hand blender. She spent 20% of her money on the hand blenders.
- How much did each television cost?
- How much did she spend altogether?
| |
Televisions |
Hand blenders |
Total |
| Number |
2 |
8 |
|
| Value |
1 u + $255 |
1 u |
|
| Total value |
2 u + $510 |
8 u |
|
Comparing amounts
spent on televisions
and hand blenders |
80%
|
20% |
100% |
(a)
Amount that Yoko spent on the televisions
= 2(1 u + 255)
= 2 u + 510
Amount that Yoko spent on the hand blenders
= 8 x 1 u
= 8 u
Amount that Yoko spent on the televisions in percent
= 100% - 20%
= 80%
20% → 8 u
80% → 4 x 8 u = 32 u
32 u = 2 u + 510
32 u - 2 u = 510
30 u = 510
1 u = 510 ÷ 30 = 17
Cost of each television
= 17 + 255
= $272
(b)
100% → 8 u + 32 u = 40 u
Amount that Yoko spent altogether
= 40 u
= 40 x 17
= $680
Answer(s): (a) $272; (b) $680
