Opal bought 4 notebooks and 6 slow cookers. Each notebook costs $455 more than each slow cooker. She spent 25% of her money on the slow cookers.
- How much did each notebook cost?
- How much did she spend altogether?
| |
Notebooks |
Slow cookers |
Total |
| Number |
4 |
6 |
|
| Value |
1 u + $455 |
1 u |
|
| Total value |
4 u + $1820 |
6 u |
|
Comparing amounts
spent on notebooks
and slow cookers |
75%
|
25% |
100% |
(a)
Amount that Opal spent on the notebooks
= 4(1 u + 455)
= 4 u + 1820
Amount that Opal spent on the slow cookers
= 6 x 1 u
= 6 u
Amount that Opal spent on the notebooks in percent
= 100% - 25%
= 75%
25% → 6 u
75% → 3 x 6 u = 18 u
18 u = 4 u + 1820
18 u - 4 u = 1820
14 u = 1820
1 u = 1820 ÷ 14 = 130
Cost of each notebook
= 130 + 455
= $585
(b)
100% → 6 u + 18 u = 24 u
Amount that Opal spent altogether
= 24 u
= 24 x 130
= $3120
Answer(s): (a) $585; (b) $3120
