Jade bought 2 refrigerators and 5 food processors. Each refrigerator costs $387 more than each food processor. She spent 20% of her money on the food processors.
- How much did each refrigerator cost?
- How much did she spend altogether?
| |
Refrigerators |
Food processors |
Total |
| Number |
2 |
5 |
|
| Value |
1 u + $387 |
1 u |
|
| Total value |
2 u + $774 |
5 u |
|
Comparing amounts
spent on refrigerators
and food processors |
80%
|
20% |
100% |
(a)
Amount that Jade spent on the refrigerators
= 2(1 u + 387)
= 2 u + 774
Amount that Jade spent on the food processors
= 5 x 1 u
= 5 u
Amount that Jade spent on the refrigerators in percent
= 100% - 20%
= 80%
20% → 5 u
80% → 4 x 5 u = 20 u
20 u = 2 u + 774
20 u - 2 u = 774
18 u = 774
1 u = 774 ÷ 18 = 43
Cost of each refrigerator
= 43 + 387
= $430
(b)
100% → 5 u + 20 u = 25 u
Amount that Jade spent altogether
= 25 u
= 25 x 43
= $1075
Answer(s): (a) $430; (b) $1075
