Roshel bought 3 washing machines and 6 muffin makers. Each washing machine costs $371 more than each muffin maker. She spent 20% of her money on the muffin makers.
- How much did each washing machine cost?
- How much did she spend altogether?
| |
Washing machines |
Muffin makers |
Total |
| Number |
3 |
6 |
|
| Value |
1 u + $371 |
1 u |
|
| Total value |
3 u + $1113 |
6 u |
|
Comparing amounts
spent on washing machines
and muffin makers |
80%
|
20% |
100% |
(a)
Amount that Roshel spent on the washing machines
= 3(1 u + 371)
= 3 u + 1113
Amount that Roshel spent on the muffin makers
= 6 x 1 u
= 6 u
Amount that Roshel spent on the washing machines in percent
= 100% - 20%
= 80%
20% → 6 u
80% → 4 x 6 u = 24 u
24 u = 3 u + 1113
24 u - 3 u = 1113
21 u = 1113
1 u = 1113 ÷ 21 = 53
Cost of each washing machine
= 53 + 371
= $424
(b)
100% → 6 u + 24 u = 30 u
Amount that Roshel spent altogether
= 30 u
= 30 x 53
= $1590
Answer(s): (a) $424; (b) $1590
