Rachel bought 3 washing machines and 4 toasters. Each washing machine costs $429 more than each toaster. She spent 25% of her money on the toasters.
- How much did each washing machine cost?
- How much did she spend altogether?
| |
Washing machines |
Toasters |
Total |
| Number |
3 |
4 |
|
| Value |
1 u + $429 |
1 u |
|
| Total value |
3 u + $1287 |
4 u |
|
Comparing amounts
spent on washing machines
and toasters |
75%
|
25% |
100% |
(a)
Amount that Rachel spent on the washing machines
= 3(1 u + 429)
= 3 u + 1287
Amount that Rachel spent on the toasters
= 4 x 1 u
= 4 u
Amount that Rachel spent on the washing machines in percent
= 100% - 25%
= 75%
25% → 4 u
75% → 3 x 4 u = 12 u
12 u = 3 u + 1287
12 u - 3 u = 1287
9 u = 1287
1 u = 1287 ÷ 9 = 143
Cost of each washing machine
= 143 + 429
= $572
(b)
100% → 4 u + 12 u = 16 u
Amount that Rachel spent altogether
= 16 u
= 16 x 143
= $2288
Answer(s): (a) $572; (b) $2288
