Diana bought 3 refrigerators and 7 toasters. Each refrigerator costs $492 more than each toaster. She spent 25% of her money on the toasters.
- How much did each refrigerator cost?
- How much did she spend altogether?
| |
Refrigerators |
Toasters |
Total |
| Number |
3 |
7 |
|
| Value |
1 u + $492 |
1 u |
|
| Total value |
3 u + $1476 |
7 u |
|
Comparing amounts
spent on refrigerators
and toasters |
75%
|
25% |
100% |
(a)
Amount that Diana spent on the refrigerators
= 3(1 u + 492)
= 3 u + 1476
Amount that Diana spent on the toasters
= 7 x 1 u
= 7 u
Amount that Diana spent on the refrigerators in percent
= 100% - 25%
= 75%
25% → 7 u
75% → 3 x 7 u = 21 u
21 u = 3 u + 1476
21 u - 3 u = 1476
18 u = 1476
1 u = 1476 ÷ 18 = 82
Cost of each refrigerator
= 82 + 492
= $574
(b)
100% → 7 u + 21 u = 28 u
Amount that Diana spent altogether
= 28 u
= 28 x 82
= $2296
Answer(s): (a) $574; (b) $2296
