Natalie bought 7 computers and 8 slow cookers. Each computer costs $442 more than each slow cooker. She spent 25% of her money on the slow cookers.
- How much did each computer cost?
- How much did she spend altogether?
| |
Computers |
Slow cookers |
Total |
| Number |
7 |
8 |
|
| Value |
1 u + $442 |
1 u |
|
| Total value |
7 u + $3094 |
8 u |
|
Comparing amounts
spent on computers
and slow cookers |
75%
|
25% |
100% |
(a)
Amount that Natalie spent on the computers
= 7(1 u + 442)
= 7 u + 3094
Amount that Natalie spent on the slow cookers
= 8 x 1 u
= 8 u
Amount that Natalie spent on the computers in percent
= 100% - 25%
= 75%
25% → 8 u
75% → 3 x 8 u = 24 u
24 u = 7 u + 3094
24 u - 7 u = 3094
17 u = 3094
1 u = 3094 ÷ 17 = 182
Cost of each computer
= 182 + 442
= $624
(b)
100% → 8 u + 24 u = 32 u
Amount that Natalie spent altogether
= 32 u
= 32 x 182
= $5824
Answer(s): (a) $624; (b) $5824
