Julie bought 2 washing machines and 5 hand blenders. Each washing machine costs $360 more than each hand blender. She spent 20% of her money on the hand blenders.
- How much did each washing machine cost?
- How much did she spend altogether?
| |
Washing machines |
Hand blenders |
Total |
| Number |
2 |
5 |
|
| Value |
1 u + $360 |
1 u |
|
| Total value |
2 u + $720 |
5 u |
|
Comparing amounts
spent on washing machines
and hand blenders |
80%
|
20% |
100% |
(a)
Amount that Julie spent on the washing machines
= 2(1 u + 360)
= 2 u + 720
Amount that Julie spent on the hand blenders
= 5 x 1 u
= 5 u
Amount that Julie spent on the washing machines in percent
= 100% - 20%
= 80%
20% → 5 u
80% → 4 x 5 u = 20 u
20 u = 2 u + 720
20 u - 2 u = 720
18 u = 720
1 u = 720 ÷ 18 = 40
Cost of each washing machine
= 40 + 360
= $400
(b)
100% → 5 u + 20 u = 25 u
Amount that Julie spent altogether
= 25 u
= 25 x 40
= $1000
Answer(s): (a) $400; (b) $1000
