Xuan bought 4 refrigerators and 10 sandwich makers. Each refrigerator costs $494 more than each sandwich maker. She spent 25% of her money on the sandwich makers.
- How much did each refrigerator cost?
- How much did she spend altogether?
| |
Refrigerators |
Sandwich makers |
Total |
| Number |
4 |
10 |
|
| Value |
1 u + $494 |
1 u |
|
| Total value |
4 u + $1976 |
10 u |
|
Comparing amounts
spent on refrigerators
and sandwich makers |
75%
|
25% |
100% |
(a)
Amount that Xuan spent on the refrigerators
= 4(1 u + 494)
= 4 u + 1976
Amount that Xuan spent on the sandwich makers
= 10 x 1 u
= 10 u
Amount that Xuan spent on the refrigerators in percent
= 100% - 25%
= 75%
25% → 10 u
75% → 3 x 10 u = 30 u
30 u = 4 u + 1976
30 u - 4 u = 1976
26 u = 1976
1 u = 1976 ÷ 26 = 76
Cost of each refrigerator
= 76 + 494
= $570
(b)
100% → 10 u + 30 u = 40 u
Amount that Xuan spent altogether
= 40 u
= 40 x 76
= $3040
Answer(s): (a) $570; (b) $3040
