Some notebooks and pencils were packed into purple and black bags. There were 12 more purple bags than black bags. Each purple carton contained 10 notebooks and each black carton contained 17 pencils. Given that there were 13 fewer notebooks than pencils in total, how much notebooks were there?
| |
Notebooks in
purple bags |
Pencils in
black bags |
Difference |
| Number |
1 u + 12 |
1 u |
|
| Value |
10 |
17 |
|
| Total value |
10 u + 120 |
17 u |
13 |
Number of fewer notebooks than pencils
= 17 u - (10 u + 120)
= 17 u - 10 u - 120
= 7 u - 120
7 u - 120 = 13
7 u = 120 + 13
7 u = 133
1 u = 133 ÷ 7 = 19
Total number of notebooks
= 10 u + 120
= 10 x 19 + 120
= 190 + 120
= 310
Answer(s): 310
