Gabby bought 4 portable air-conditioners and 6 toasters. Each portable air-conditioner costs $325 more than each toaster. She spent 10% of her money on the toasters.
- How much did each portable air-conditioner cost?
- How much did she spend altogether?
| |
Portable air-conditioners |
Toasters |
Total |
| Number |
4 |
6 |
|
| Value |
1 u + $325 |
1 u |
|
| Total value |
4 u + $1300 |
6 u |
|
Comparing amounts
spent on portable air-conditioners
and toasters |
90%
|
10% |
100% |
(a)
Amount that Gabby spent on the portable air-conditioners
= 4(1 u + 325)
= 4 u + 1300
Amount that Gabby spent on the toasters
= 6 x 1 u
= 6 u
Amount that Gabby spent on the portable air-conditioners in percent
= 100% - 10%
= 90%
10% → 6 u
90% → 9 x 6 u = 54 u
54 u = 4 u + 1300
54 u - 4 u = 1300
50 u = 1300
1 u = 1300 ÷ 50 = 26
Cost of each portable air-conditioner
= 26 + 325
= $351
(b)
100% → 6 u + 54 u = 60 u
Amount that Gabby spent altogether
= 60 u
= 60 x 26
= $1560
Answer(s): (a) $351; (b) $1560
