On a shelf, there were 107 cardigans and jackets. Seth spilt coffee on the shelf and stained 50% of the jackets and 20% of the cardigans. If 76 cardigans and jackets were still clean, how many clean jackets were there?
| |
Cardigans |
Jackets |
Total |
| Stained |
1 u |
1 p |
31 |
| Clean |
4 u |
1 p |
76 |
| Total |
5 u |
2 p |
107 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 107 - 76
= 31
4 u + 1 p = 76
1 p = 76 - 4 u --- (1)
1 u + 1 p = 31
1 p = 31 - 1 u --- (2)
(2) - (1)
31 - 1 u = 76 - 4 u
4 u - 1 u = 76 - 31
3 u = 45
1 u = 45 ÷ 3 = 15
Number of clean jackets is the same as the number of stained jackets.
Number of clean jackets
= 31 - 1 u
= 31 - 15
= 16
Answer(s): 16
