Jen bought 2 washing machines and 6 kettles. Each washing machine costs $341 more than each kettle. She spent 20% of her money on the kettles.
- How much did each washing machine cost?
- How much did she spend altogether?
| |
Washing machines |
Kettles |
Total |
| Number |
2 |
6 |
|
| Value |
1 u + $341 |
1 u |
|
| Total value |
2 u + $682 |
6 u |
|
Comparing amounts
spent on washing machines
and kettles |
80%
|
20% |
100% |
(a)
Amount that Jen spent on the washing machines
= 2(1 u + 341)
= 2 u + 682
Amount that Jen spent on the kettles
= 6 x 1 u
= 6 u
Amount that Jen spent on the washing machines in percent
= 100% - 20%
= 80%
20% → 6 u
80% → 4 x 6 u = 24 u
24 u = 2 u + 682
24 u - 2 u = 682
22 u = 682
1 u = 682 ÷ 22 = 31
Cost of each washing machine
= 31 + 341
= $372
(b)
100% → 6 u + 24 u = 30 u
Amount that Jen spent altogether
= 30 u
= 30 x 31
= $930
Answer(s): (a) $372; (b) $930
