Elyse bought 6 refrigerators and 8 lamps. Each refrigerator costs $352 more than each lamp. She spent 10% of her money on the lamps.
- How much did each refrigerator cost?
- How much did she spend altogether?
| |
Refrigerators |
Lamps |
Total |
| Number |
6 |
8 |
|
| Value |
1 u + $352 |
1 u |
|
| Total value |
6 u + $2112 |
8 u |
|
Comparing amounts
spent on refrigerators
and lamps |
90%
|
10% |
100% |
(a)
Amount that Elyse spent on the refrigerators
= 6(1 u + 352)
= 6 u + 2112
Amount that Elyse spent on the lamps
= 8 x 1 u
= 8 u
Amount that Elyse spent on the refrigerators in percent
= 100% - 10%
= 90%
10% → 8 u
90% → 9 x 8 u = 72 u
72 u = 6 u + 2112
72 u - 6 u = 2112
66 u = 2112
1 u = 2112 ÷ 66 = 32
Cost of each refrigerator
= 32 + 352
= $384
(b)
100% → 8 u + 72 u = 80 u
Amount that Elyse spent altogether
= 80 u
= 80 x 32
= $2560
Answer(s): (a) $384; (b) $2560
