Cindy bought 6 washing machines and 7 toasters. Each washing machine costs $270 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 |
6 |
7 |
|
| Value |
1 u + $270 |
1 u |
|
| Total value |
6 u + $1620 |
7 u |
|
Comparing amounts
spent on washing machines
and toasters |
75%
|
25% |
100% |
(a)
Amount that Cindy spent on the washing machines
= 6(1 u + 270)
= 6 u + 1620
Amount that Cindy spent on the toasters
= 7 x 1 u
= 7 u
Amount that Cindy spent on the washing machines in percent
= 100% - 25%
= 75%
25% → 7 u
75% → 3 x 7 u = 21 u
21 u = 6 u + 1620
21 u - 6 u = 1620
15 u = 1620
1 u = 1620 ÷ 15 = 108
Cost of each washing machine
= 108 + 270
= $378
(b)
100% → 7 u + 21 u = 28 u
Amount that Cindy spent altogether
= 28 u
= 28 x 108
= $3024
Answer(s): (a) $378; (b) $3024
