Gem bought 6 laptops and 10 blenders. Each laptop costs $320 more than each blender. She spent 25% of her money on the blenders.
- How much did each laptop cost?
- How much did she spend altogether?
| |
Laptops |
Blenders |
Total |
| Number |
6 |
10 |
|
| Value |
1 u + $320 |
1 u |
|
| Total value |
6 u + $1920 |
10 u |
|
Comparing amounts
spent on laptops
and blenders |
75%
|
25% |
100% |
(a)
Amount that Gem spent on the laptops
= 6(1 u + 320)
= 6 u + 1920
Amount that Gem spent on the blenders
= 10 x 1 u
= 10 u
Amount that Gem spent on the laptops in percent
= 100% - 25%
= 75%
25% → 10 u
75% → 3 x 10 u = 30 u
30 u = 6 u + 1920
30 u - 6 u = 1920
24 u = 1920
1 u = 1920 ÷ 24 = 80
Cost of each laptop
= 80 + 320
= $400
(b)
100% → 10 u + 30 u = 40 u
Amount that Gem spent altogether
= 40 u
= 40 x 80
= $3200
Answer(s): (a) $400; (b) $3200
