Kathy bought 5 refrigerators and 8 blenders. Each refrigerator costs $342 more than each blender. She spent 25% of her money on the blenders.
- How much did each refrigerator cost?
- How much did she spend altogether?
| |
Refrigerators |
Blenders |
Total |
| Number |
5 |
8 |
|
| Value |
1 u + $342 |
1 u |
|
| Total value |
5 u + $1710 |
8 u |
|
Comparing amounts
spent on refrigerators
and blenders |
75%
|
25% |
100% |
(a)
Amount that Kathy spent on the refrigerators
= 5(1 u + 342)
= 5 u + 1710
Amount that Kathy spent on the blenders
= 8 x 1 u
= 8 u
Amount that Kathy spent on the refrigerators in percent
= 100% - 25%
= 75%
25% → 8 u
75% → 3 x 8 u = 24 u
24 u = 5 u + 1710
24 u - 5 u = 1710
19 u = 1710
1 u = 1710 ÷ 19 = 90
Cost of each refrigerator
= 90 + 342
= $432
(b)
100% → 8 u + 24 u = 32 u
Amount that Kathy spent altogether
= 32 u
= 32 x 90
= $2880
Answer(s): (a) $432; (b) $2880
