Jane bought 4 computers and 7 toasters. Each computer costs $288 more than each toaster. She spent 20% of her money on the toasters.
- How much did each computer cost?
- How much did she spend altogether?
| |
Computers |
Toasters |
Total |
| Number |
4 |
7 |
|
| Value |
1 u + $288 |
1 u |
|
| Total value |
4 u + $1152 |
7 u |
|
Comparing amounts
spent on computers
and toasters |
80%
|
20% |
100% |
(a)
Amount that Jane spent on the computers
= 4(1 u + 288)
= 4 u + 1152
Amount that Jane spent on the toasters
= 7 x 1 u
= 7 u
Amount that Jane spent on the computers in percent
= 100% - 20%
= 80%
20% → 7 u
80% → 4 x 7 u = 28 u
28 u = 4 u + 1152
28 u - 4 u = 1152
24 u = 1152
1 u = 1152 ÷ 24 = 48
Cost of each computer
= 48 + 288
= $336
(b)
100% → 7 u + 28 u = 35 u
Amount that Jane spent altogether
= 35 u
= 35 x 48
= $1680
Answer(s): (a) $336; (b) $1680
