Lynn bought 2 laptops and 6 juicers. Each laptop costs $408 more than each juicer. She spent 25% of her money on the juicers.
- How much did each laptop cost?
- How much did she spend altogether?
| |
Laptops |
Juicers |
Total |
| Number |
2 |
6 |
|
| Value |
1 u + $408 |
1 u |
|
| Total value |
2 u + $816 |
6 u |
|
Comparing amounts
spent on laptops
and juicers |
75%
|
25% |
100% |
(a)
Amount that Lynn spent on the laptops
= 2(1 u + 408)
= 2 u + 816
Amount that Lynn spent on the juicers
= 6 x 1 u
= 6 u
Amount that Lynn spent on the laptops in percent
= 100% - 25%
= 75%
25% → 6 u
75% → 3 x 6 u = 18 u
18 u = 2 u + 816
18 u - 2 u = 816
16 u = 816
1 u = 816 ÷ 16 = 51
Cost of each laptop
= 51 + 408
= $459
(b)
100% → 6 u + 18 u = 24 u
Amount that Lynn spent altogether
= 24 u
= 24 x 51
= $1224
Answer(s): (a) $459; (b) $1224
