Jean bought 4 portable air-conditioners and 6 sandwich makers. Each portable air-conditioner costs $448 more than each sandwich maker. She spent 25% of her money on the sandwich makers.

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

	Portable air-conditioners	Sandwich makers	Total
Number	4	6
Value	1 u + $448	1 u
Total value	4 u + $1792	6 u
Comparing amounts spent on portable air-conditioners and sandwich makers	75%	25%	100%

(a)
Amount that Jean spent on the portable air-conditioners
= 4(1 u + 448)
= 4 u + 1792 

Amount that Jean spent on the sandwich makers
= 6 x 1 u
= 6 u

Amount that Jean spent on the portable air-conditioners in percent
= 100% - 25%
= 75%

25% → 6 u

75% → 3 x 6 u = 18 u

18 u = 4 u + 1792
18 u - 4 u = 1792
14 u = 1792

1 u = 1792 ÷ 14 = 128

Cost of each portable air-conditioner 
= 128 + 448
= $576

(b)
100% → 6 u + 18 u = 24 u

Amount that Jean spent altogether
= 24 u
= 24 x 128
= $3072

Answer(s): (a) $576; (b) $3072