Min bought 2 computers and 4 blenders. Each computer costs $273 more than each blender. She spent 20% of her money on the blenders.
- How much did each computer cost?
- How much did she spend altogether?
|
Computers |
Blenders |
Total |
Number |
2 |
4 |
|
Value |
1 u + $273 |
1 u |
|
Total value |
2 u + $546 |
4 u |
|
Comparing amounts spent on computers and blenders |
80%
|
20% |
100% |
(a)
Amount that Min spent on the computers
= 2(1 u + 273)
= 2 u + 546
Amount that Min spent on the blenders
= 4 x 1 u
= 4 u
Amount that Min spent on the computers in percent
= 100% - 20%
= 80%
20% → 4 u
80% → 4 x 4 u = 16 u
16 u = 2 u + 546
16 u - 2 u = 546
14 u = 546
1 u = 546 ÷ 14 = 39
Cost of each computer
= 39 + 273
= $312
(b)
100% → 4 u + 16 u = 20 u
Amount that Min spent altogether
= 20 u
= 20 x 39
= $780
Answer(s): (a) $312; (b) $780