Hilda bought 6 computers and 8 blenders. Each computer costs $286 more than each blender. She spent 10% of her money on the blenders.
- How much did each computer cost?
- How much did she spend altogether?
| |
Computers |
Blenders |
Total |
| Number |
6 |
8 |
|
| Value |
1 u + $286 |
1 u |
|
| Total value |
6 u + $1716 |
8 u |
|
Comparing amounts
spent on computers
and blenders |
90%
|
10% |
100% |
(a)
Amount that Hilda spent on the computers
= 6(1 u + 286)
= 6 u + 1716
Amount that Hilda spent on the blenders
= 8 x 1 u
= 8 u
Amount that Hilda spent on the computers in percent
= 100% - 10%
= 90%
10% → 8 u
90% → 9 x 8 u = 72 u
72 u = 6 u + 1716
72 u - 6 u = 1716
66 u = 1716
1 u = 1716 ÷ 66 = 26
Cost of each computer
= 26 + 286
= $312
(b)
100% → 8 u + 72 u = 80 u
Amount that Hilda spent altogether
= 80 u
= 80 x 26
= $2080
Answer(s): (a) $312; (b) $2080
