Raeann bought 6 portable air-conditioners and 10 muffin makers. Each portable air-conditioner costs $493 more than each muffin maker. She spent 20% of her money on the muffin makers.

1. How much did each portable air-conditioner cost? 
2. How much did she spend altogether?

	Portable air-conditioners	Muffin makers	Total
Number	6	10
Value	1 u + $493	1 u
Total value	6 u + $2958	10 u
Comparing amounts spent on portable air-conditioners and muffin makers	80%	20%	100%

(a)
Amount that Raeann spent on the portable air-conditioners
= 6(1 u + 493)
= 6 u + 2958 

Amount that Raeann spent on the muffin makers
= 10 x 1 u
= 10 u

Amount that Raeann spent on the portable air-conditioners in percent
= 100% - 20%
= 80%

20% → 10 u

80% → 4 x 10 u = 40 u

40 u = 6 u + 2958
40 u - 6 u = 2958
34 u = 2958

1 u = 2958 ÷ 34 = 87

Cost of each portable air-conditioner 
= 87 + 493
= $580

(b)
100% → 10 u + 40 u = 50 u

Amount that Raeann spent altogether
= 50 u
= 50 x 87
= $4350

Answer(s): (a) $580; (b) $4350