Hilda bought 2 washing machines and 4 sandwich makers. Each washing machine costs $357 more than each sandwich maker. She spent 20% of her money on the sandwich makers.
- How much did each washing machine cost?
- How much did she spend altogether?
| |
Washing machines |
Sandwich makers |
Total |
| Number |
2 |
4 |
|
| Value |
1 u + $357 |
1 u |
|
| Total value |
2 u + $714 |
4 u |
|
Comparing amounts
spent on washing machines
and sandwich makers |
80%
|
20% |
100% |
(a)
Amount that Hilda spent on the washing machines
= 2(1 u + 357)
= 2 u + 714
Amount that Hilda spent on the sandwich makers
= 4 x 1 u
= 4 u
Amount that Hilda spent on the washing machines in percent
= 100% - 20%
= 80%
20% → 4 u
80% → 4 x 4 u = 16 u
16 u = 2 u + 714
16 u - 2 u = 714
14 u = 714
1 u = 714 ÷ 14 = 51
Cost of each washing machine
= 51 + 357
= $408
(b)
100% → 4 u + 16 u = 20 u
Amount that Hilda spent altogether
= 20 u
= 20 x 51
= $1020
Answer(s): (a) $408; (b) $1020
