Vanessa bought 3 laptops and 8 slow cookers. Each laptop costs $406 more than each slow cooker. She spent 20% of her money on the slow cookers.
- How much did each laptop cost?
- How much did she spend altogether?
| |
Laptops |
Slow cookers |
Total |
| Number |
3 |
8 |
|
| Value |
1 u + $406 |
1 u |
|
| Total value |
3 u + $1218 |
8 u |
|
Comparing amounts
spent on laptops
and slow cookers |
80%
|
20% |
100% |
(a)
Amount that Vanessa spent on the laptops
= 3(1 u + 406)
= 3 u + 1218
Amount that Vanessa spent on the slow cookers
= 8 x 1 u
= 8 u
Amount that Vanessa spent on the laptops in percent
= 100% - 20%
= 80%
20% → 8 u
80% → 4 x 8 u = 32 u
32 u = 3 u + 1218
32 u - 3 u = 1218
29 u = 1218
1 u = 1218 ÷ 29 = 42
Cost of each laptop
= 42 + 406
= $448
(b)
100% → 8 u + 32 u = 40 u
Amount that Vanessa spent altogether
= 40 u
= 40 x 42
= $1680
Answer(s): (a) $448; (b) $1680
