Penelope bought 2 computers and 9 slow cookers. Each computer costs $374 more than each slow cooker. She spent 20% of her money on the slow cookers.
- How much did each computer cost?
- How much did she spend altogether?
| |
Computers |
Slow cookers |
Total |
| Number |
2 |
9 |
|
| Value |
1 u + $374 |
1 u |
|
| Total value |
2 u + $748 |
9 u |
|
Comparing amounts
spent on computers
and slow cookers |
80%
|
20% |
100% |
(a)
Amount that Penelope spent on the computers
= 2(1 u + 374)
= 2 u + 748
Amount that Penelope spent on the slow cookers
= 9 x 1 u
= 9 u
Amount that Penelope spent on the computers in percent
= 100% - 20%
= 80%
20% → 9 u
80% → 4 x 9 u = 36 u
36 u = 2 u + 748
36 u - 2 u = 748
34 u = 748
1 u = 748 ÷ 34 = 22
Cost of each computer
= 22 + 374
= $396
(b)
100% → 9 u + 36 u = 45 u
Amount that Penelope spent altogether
= 45 u
= 45 x 22
= $990
Answer(s): (a) $396; (b) $990
