Nicole bought 3 notebooks and 4 deep fryers. Each notebook costs $396 more than each deep fryer. She spent 25% of her money on the deep fryers.
- How much did each notebook cost?
- How much did she spend altogether?
| |
Notebooks |
Deep fryers |
Total |
| Number |
3 |
4 |
|
| Value |
1 u + $396 |
1 u |
|
| Total value |
3 u + $1188 |
4 u |
|
Comparing amounts
spent on notebooks
and deep fryers |
75%
|
25% |
100% |
(a)
Amount that Nicole spent on the notebooks
= 3(1 u + 396)
= 3 u + 1188
Amount that Nicole spent on the deep fryers
= 4 x 1 u
= 4 u
Amount that Nicole spent on the notebooks in percent
= 100% - 25%
= 75%
25% → 4 u
75% → 3 x 4 u = 12 u
12 u = 3 u + 1188
12 u - 3 u = 1188
9 u = 1188
1 u = 1188 ÷ 9 = 132
Cost of each notebook
= 132 + 396
= $528
(b)
100% → 4 u + 12 u = 16 u
Amount that Nicole spent altogether
= 16 u
= 16 x 132
= $2112
Answer(s): (a) $528; (b) $2112
