Esther bought 8 notebooks and 10 deep fryers. Each notebook costs $492 more than each deep fryer. She spent 20% of her money on the deep fryers.
- How much did each notebook cost?
- How much did she spend altogether?
| |
Notebooks |
Deep fryers |
Total |
| Number |
8 |
10 |
|
| Value |
1 u + $492 |
1 u |
|
| Total value |
8 u + $3936 |
10 u |
|
Comparing amounts
spent on notebooks
and deep fryers |
80%
|
20% |
100% |
(a)
Amount that Esther spent on the notebooks
= 8(1 u + 492)
= 8 u + 3936
Amount that Esther spent on the deep fryers
= 10 x 1 u
= 10 u
Amount that Esther spent on the notebooks in percent
= 100% - 20%
= 80%
20% → 10 u
80% → 4 x 10 u = 40 u
40 u = 8 u + 3936
40 u - 8 u = 3936
32 u = 3936
1 u = 3936 ÷ 32 = 123
Cost of each notebook
= 123 + 492
= $615
(b)
100% → 10 u + 40 u = 50 u
Amount that Esther spent altogether
= 50 u
= 50 x 123
= $6150
Answer(s): (a) $615; (b) $6150
