Jane bought 8 portable air-conditioners and 10 kettles. Each portable air-conditioner costs $440 more than each kettle. She spent 25% of her money on the kettles.
- How much did each portable air-conditioner cost?
- How much did she spend altogether?
| |
Portable air-conditioners |
Kettles |
Total |
| Number |
8 |
10 |
|
| Value |
1 u + $440 |
1 u |
|
| Total value |
8 u + $3520 |
10 u |
|
Comparing amounts
spent on portable air-conditioners
and kettles |
75%
|
25% |
100% |
(a)
Amount that Jane spent on the portable air-conditioners
= 8(1 u + 440)
= 8 u + 3520
Amount that Jane spent on the kettles
= 10 x 1 u
= 10 u
Amount that Jane spent on the portable air-conditioners in percent
= 100% - 25%
= 75%
25% → 10 u
75% → 3 x 10 u = 30 u
30 u = 8 u + 3520
30 u - 8 u = 3520
22 u = 3520
1 u = 3520 ÷ 22 = 160
Cost of each portable air-conditioner
= 160 + 440
= $600
(b)
100% → 10 u + 30 u = 40 u
Amount that Jane spent altogether
= 40 u
= 40 x 160
= $6400
Answer(s): (a) $600; (b) $6400
