Gabby bought 2 laptops and 9 blenders. Each laptop costs $500 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 |
2 |
9 |
|
| Value |
1 u + $500 |
1 u |
|
| Total value |
2 u + $1000 |
9 u |
|
Comparing amounts
spent on laptops
and blenders |
75%
|
25% |
100% |
(a)
Amount that Gabby spent on the laptops
= 2(1 u + 500)
= 2 u + 1000
Amount that Gabby spent on the blenders
= 9 x 1 u
= 9 u
Amount that Gabby spent on the laptops in percent
= 100% - 25%
= 75%
25% → 9 u
75% → 3 x 9 u = 27 u
27 u = 2 u + 1000
27 u - 2 u = 1000
25 u = 1000
1 u = 1000 ÷ 25 = 40
Cost of each laptop
= 40 + 500
= $540
(b)
100% → 9 u + 27 u = 36 u
Amount that Gabby spent altogether
= 36 u
= 36 x 40
= $1440
Answer(s): (a) $540; (b) $1440
