Kylie bought 2 notebooks and 3 juicers. Each notebook costs $395 more than each juicer. She spent 20% of her money on the juicers.
- How much did each notebook cost?
- How much did she spend altogether?
|
Notebooks |
Juicers |
Total |
Number |
2 |
3 |
|
Value |
1 u + $395 |
1 u |
|
Total value |
2 u + $790 |
3 u |
|
Comparing amounts spent on notebooks and juicers |
80%
|
20% |
100% |
(a)
Amount that Kylie spent on the notebooks
= 2(1 u + 395)
= 2 u + 790
Amount that Kylie spent on the juicers
= 3 x 1 u
= 3 u
Amount that Kylie spent on the notebooks in percent
= 100% - 20%
= 80%
20% → 3 u
80% → 4 x 3 u = 12 u
12 u = 2 u + 790
12 u - 2 u = 790
10 u = 790
1 u = 790 ÷ 10 = 79
Cost of each notebook
= 79 + 395
= $474
(b)
100% → 3 u + 12 u = 15 u
Amount that Kylie spent altogether
= 15 u
= 15 x 79
= $1185
Answer(s): (a) $474; (b) $1185