Jen bought 2 washing machines and 4 blenders. Each washing machine costs $336 more than each blender. She spent 20% 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 |
4 |
|
| Value |
1 u + $336 |
1 u |
|
| Total value |
2 u + $672 |
4 u |
|
Comparing amounts
spent on washing machines
and blenders |
80%
|
20% |
100% |
(a)
Amount that Jen spent on the washing machines
= 2(1 u + 336)
= 2 u + 672
Amount that Jen spent on the blenders
= 4 x 1 u
= 4 u
Amount that Jen spent on the washing machines in percent
= 100% - 20%
= 80%
20% → 4 u
80% → 4 x 4 u = 16 u
16 u = 2 u + 672
16 u - 2 u = 672
14 u = 672
1 u = 672 ÷ 14 = 48
Cost of each washing machine
= 48 + 336
= $384
(b)
100% → 4 u + 16 u = 20 u
Amount that Jen spent altogether
= 20 u
= 20 x 48
= $960
Answer(s): (a) $384; (b) $960
