On a shelf, there were 100 cardigans and jackets. John spilt hot coffee on the shelf and stained 50% of the jackets and 25% of the cardigans. If 67 cardigans and jackets were still clean, how many stained jackets were there?
| |
Cardigans |
Jackets |
Total |
| Stained |
1 u |
1 p |
33 |
| Clean |
3 u |
1 p |
67 |
| Total |
4 u |
2 p |
100 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 100 - 67
= 33
3 u + 1 p = 67
1 p = 67 - 3 u --- (1)
1 u + 1 p = 33
1 p = 33 - 1 u --- (2)
(2) - (1)
33 - 1 u = 67 - 3 u
3 u - 1 u = 67 - 33
2 u = 34
1 u = 34 ÷ 2 = 17
Number of stained jackets
= 33 - 1 u
= 33 - 17
= 16
Answer(s): 16
