Betty bought 5 refrigerators and 8 blenders. Each refrigerator costs $402 more than each blender. She spent 10% 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 + $402 |
1 u |
|
Total value |
5 u + $2010 |
8 u |
|
Comparing amounts spent on refrigerators and blenders |
90%
|
10% |
100% |
(a)
Amount that Betty spent on the refrigerators
= 5(1 u + 402)
= 5 u + 2010
Amount that Betty spent on the blenders
= 8 x 1 u
= 8 u
Amount that Betty spent on the refrigerators in percent
= 100% - 10%
= 90%
10% → 8 u
90% → 9 x 8 u = 72 u
72 u = 5 u + 2010
72 u - 5 u = 2010
67 u = 2010
1 u = 2010 ÷ 67 = 30
Cost of each refrigerator
= 30 + 402
= $432
(b)
100% → 8 u + 72 u = 80 u
Amount that Betty spent altogether
= 80 u
= 80 x 30
= $2400
Answer(s): (a) $432; (b) $2400