Penelope bought 2 refrigerators and 10 slow cookers. Each refrigerator costs $364 more than each slow cooker. She spent 25% of her money on the slow cookers.
- How much did each refrigerator cost?
- How much did she spend altogether?
| |
Refrigerators |
Slow cookers |
Total |
| Number |
2 |
10 |
|
| Value |
1 u + $364 |
1 u |
|
| Total value |
2 u + $728 |
10 u |
|
Comparing amounts
spent on refrigerators
and slow cookers |
75%
|
25% |
100% |
(a)
Amount that Penelope spent on the refrigerators
= 2(1 u + 364)
= 2 u + 728
Amount that Penelope spent on the slow cookers
= 10 x 1 u
= 10 u
Amount that Penelope spent on the refrigerators in percent
= 100% - 25%
= 75%
25% → 10 u
75% → 3 x 10 u = 30 u
30 u = 2 u + 728
30 u - 2 u = 728
28 u = 728
1 u = 728 ÷ 28 = 26
Cost of each refrigerator
= 26 + 364
= $390
(b)
100% → 10 u + 30 u = 40 u
Amount that Penelope spent altogether
= 40 u
= 40 x 26
= $1040
Answer(s): (a) $390; (b) $1040
