Marion bought 4 laptops and 8 toasters. Each laptop costs $495 more than each toaster. She spent 25% of her money on the toasters.
- How much did each laptop cost?
- How much did she spend altogether?
| |
Laptops |
Toasters |
Total |
| Number |
4 |
8 |
|
| Value |
1 u + $495 |
1 u |
|
| Total value |
4 u + $1980 |
8 u |
|
Comparing amounts
spent on laptops
and toasters |
75%
|
25% |
100% |
(a)
Amount that Marion spent on the laptops
= 4(1 u + 495)
= 4 u + 1980
Amount that Marion spent on the toasters
= 8 x 1 u
= 8 u
Amount that Marion spent on the laptops in percent
= 100% - 25%
= 75%
25% → 8 u
75% → 3 x 8 u = 24 u
24 u = 4 u + 1980
24 u - 4 u = 1980
20 u = 1980
1 u = 1980 ÷ 20 = 99
Cost of each laptop
= 99 + 495
= $594
(b)
100% → 8 u + 24 u = 32 u
Amount that Marion spent altogether
= 32 u
= 32 x 99
= $3168
Answer(s): (a) $594; (b) $3168
