On a shelf, there were 110 cardigans and hoodies. Mark spilt hot juice on the shelf and stained 50% of the hoodies and 20% of the cardigans. If 82 cardigans and hoodies were still clean, how many stained hoodies were there?
| |
Cardigans |
Hoodies |
Total |
| Stained |
1 u |
1 p |
28 |
| Clean |
4 u |
1 p |
82 |
| Total |
5 u |
2 p |
110 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 110 - 82
= 28
4 u + 1 p = 82
1 p = 82 - 4 u --- (1)
1 u + 1 p = 28
1 p = 28 - 1 u --- (2)
(2) - (1)
28 - 1 u = 82 - 4 u
4 u - 1 u = 82 - 28
3 u = 54
1 u = 54 ÷ 3 = 18
Number of stained hoodies
= 28 - 1 u
= 28 - 18
= 10
Answer(s): 10
