Betty bought 2 washing machines and 8 blenders. Each washing machine costs $264 more than each blender. She spent 25% of her money on the blenders.
- How much did each washing machine cost?
- How much did she spend altogether?
| |
Washing machines |
Blenders |
Total |
| Number |
2 |
8 |
|
| Value |
1 u + $264 |
1 u |
|
| Total value |
2 u + $528 |
8 u |
|
Comparing amounts
spent on washing machines
and blenders |
75%
|
25% |
100% |
(a)
Amount that Betty spent on the washing machines
= 2(1 u + 264)
= 2 u + 528
Amount that Betty spent on the blenders
= 8 x 1 u
= 8 u
Amount that Betty spent on the washing machines in percent
= 100% - 25%
= 75%
25% → 8 u
75% → 3 x 8 u = 24 u
24 u = 2 u + 528
24 u - 2 u = 528
22 u = 528
1 u = 528 ÷ 22 = 24
Cost of each washing machine
= 24 + 264
= $288
(b)
100% → 8 u + 24 u = 32 u
Amount that Betty spent altogether
= 32 u
= 32 x 24
= $768
Answer(s): (a) $288; (b) $768
