Dana bought 6 portable air-conditioners and 7 muffin makers. Each portable air-conditioner costs $395 more than each muffin maker. She spent 25% of her money on the muffin makers.
- How much did each portable air-conditioner cost?
- How much did she spend altogether?
|
Portable air-conditioners |
Muffin makers |
Total |
Number |
6 |
7 |
|
Value |
1 u + $395 |
1 u |
|
Total value |
6 u + $2370 |
7 u |
|
Comparing amounts spent on portable air-conditioners and muffin makers |
75%
|
25% |
100% |
(a)
Amount that Dana spent on the portable air-conditioners
= 6(1 u + 395)
= 6 u + 2370
Amount that Dana spent on the muffin makers
= 7 x 1 u
= 7 u
Amount that Dana spent on the portable air-conditioners in percent
= 100% - 25%
= 75%
25% → 7 u
75% → 3 x 7 u = 21 u
21 u = 6 u + 2370
21 u - 6 u = 2370
15 u = 2370
1 u = 2370 ÷ 15 = 158
Cost of each portable air-conditioner
= 158 + 395
= $553
(b)
100% → 7 u + 21 u = 28 u
Amount that Dana spent altogether
= 28 u
= 28 x 158
= $4424
Answer(s): (a) $553; (b) $4424