Esther bought 6 washing machines and 10 stand mixers. Each washing machine costs $416 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 |
6 |
10 |
|
| Value |
1 u + $416 |
1 u |
|
| Total value |
6 u + $2496 |
10 u |
|
Comparing amounts
spent on washing machines
and stand mixers |
75%
|
25% |
100% |
(a)
Amount that Esther spent on the washing machines
= 6(1 u + 416)
= 6 u + 2496
Amount that Esther spent on the stand mixers
= 10 x 1 u
= 10 u
Amount that Esther spent on the washing machines in percent
= 100% - 25%
= 75%
25% → 10 u
75% → 3 x 10 u = 30 u
30 u = 6 u + 2496
30 u - 6 u = 2496
24 u = 2496
1 u = 2496 ÷ 24 = 104
Cost of each washing machine
= 104 + 416
= $520
(b)
100% → 10 u + 30 u = 40 u
Amount that Esther spent altogether
= 40 u
= 40 x 104
= $4160
Answer(s): (a) $520; (b) $4160
