Zara bought 2 washing machines and 4 stand mixers. Each washing machine costs $350 more than each stand mixer. She spent 25% of her money on the stand mixers.
- How much did each washing machine cost?
- How much did she spend altogether?
| |
Washing machines |
Stand mixers |
Total |
| Number |
2 |
4 |
|
| Value |
1 u + $350 |
1 u |
|
| Total value |
2 u + $700 |
4 u |
|
Comparing amounts
spent on washing machines
and stand mixers |
75%
|
25% |
100% |
(a)
Amount that Zara spent on the washing machines
= 2(1 u + 350)
= 2 u + 700
Amount that Zara spent on the stand mixers
= 4 x 1 u
= 4 u
Amount that Zara spent on the washing machines in percent
= 100% - 25%
= 75%
25% → 4 u
75% → 3 x 4 u = 12 u
12 u = 2 u + 700
12 u - 2 u = 700
10 u = 700
1 u = 700 ÷ 10 = 70
Cost of each washing machine
= 70 + 350
= $420
(b)
100% → 4 u + 12 u = 16 u
Amount that Zara spent altogether
= 16 u
= 16 x 70
= $1120
Answer(s): (a) $420; (b) $1120
