Rachel bought 3 refrigerators and 4 deep fryers. Each refrigerator costs $374 more than each deep fryer. She spent 10% of her money on the deep fryers.
- How much did each refrigerator cost?
- How much did she spend altogether?
| |
Refrigerators |
Deep fryers |
Total |
| Number |
3 |
4 |
|
| Value |
1 u + $374 |
1 u |
|
| Total value |
3 u + $1122 |
4 u |
|
Comparing amounts
spent on refrigerators
and deep fryers |
90%
|
10% |
100% |
(a)
Amount that Rachel spent on the refrigerators
= 3(1 u + 374)
= 3 u + 1122
Amount that Rachel spent on the deep fryers
= 4 x 1 u
= 4 u
Amount that Rachel spent on the refrigerators in percent
= 100% - 10%
= 90%
10% → 4 u
90% → 9 x 4 u = 36 u
36 u = 3 u + 1122
36 u - 3 u = 1122
33 u = 1122
1 u = 1122 ÷ 33 = 34
Cost of each refrigerator
= 34 + 374
= $408
(b)
100% → 4 u + 36 u = 40 u
Amount that Rachel spent altogether
= 40 u
= 40 x 34
= $1360
Answer(s): (a) $408; (b) $1360
