Nicole bought 4 laptops and 8 hand blenders. Each laptop costs $270 more than each hand blender. She spent 25% of her money on the hand blenders.
- How much did each laptop cost?
- How much did she spend altogether?
| |
Laptops |
Hand blenders |
Total |
| Number |
4 |
8 |
|
| Value |
1 u + $270 |
1 u |
|
| Total value |
4 u + $1080 |
8 u |
|
Comparing amounts
spent on laptops
and hand blenders |
75%
|
25% |
100% |
(a)
Amount that Nicole spent on the laptops
= 4(1 u + 270)
= 4 u + 1080
Amount that Nicole spent on the hand blenders
= 8 x 1 u
= 8 u
Amount that Nicole spent on the laptops in percent
= 100% - 25%
= 75%
25% → 8 u
75% → 3 x 8 u = 24 u
24 u = 4 u + 1080
24 u - 4 u = 1080
20 u = 1080
1 u = 1080 ÷ 20 = 54
Cost of each laptop
= 54 + 270
= $324
(b)
100% → 8 u + 24 u = 32 u
Amount that Nicole spent altogether
= 32 u
= 32 x 54
= $1728
Answer(s): (a) $324; (b) $1728
