Penelope bought 4 notebooks and 7 food processors. Each notebook costs $354 more than each food processor. She spent 20% of her money on the food processors.
- How much did each notebook cost?
- How much did she spend altogether?
| |
Notebooks |
Food processors |
Total |
| Number |
4 |
7 |
|
| Value |
1 u + $354 |
1 u |
|
| Total value |
4 u + $1416 |
7 u |
|
Comparing amounts
spent on notebooks
and food processors |
80%
|
20% |
100% |
(a)
Amount that Penelope spent on the notebooks
= 4(1 u + 354)
= 4 u + 1416
Amount that Penelope spent on the food processors
= 7 x 1 u
= 7 u
Amount that Penelope spent on the notebooks in percent
= 100% - 20%
= 80%
20% → 7 u
80% → 4 x 7 u = 28 u
28 u = 4 u + 1416
28 u - 4 u = 1416
24 u = 1416
1 u = 1416 ÷ 24 = 59
Cost of each notebook
= 59 + 354
= $413
(b)
100% → 7 u + 28 u = 35 u
Amount that Penelope spent altogether
= 35 u
= 35 x 59
= $2065
Answer(s): (a) $413; (b) $2065
