On a shelf, there were 48 sweaters and hoodies. Pierre spilt hot tea on the shelf and stained 50% of the hoodies and 25% of the sweaters. If 30 sweaters and hoodies were still clean, how many stained hoodies were there?
| |
Sweaters |
Hoodies |
Total |
| Stained |
1 u |
1 p |
18 |
| Clean |
3 u |
1 p |
30 |
| Total |
4 u |
2 p |
48 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 48 - 30
= 18
3 u + 1 p = 30
1 p = 30 - 3 u --- (1)
1 u + 1 p = 18
1 p = 18 - 1 u --- (2)
(2) - (1)
18 - 1 u = 30 - 3 u
3 u - 1 u = 30 - 18
2 u = 12
1 u = 12 ÷ 2 = 6
Number of stained hoodies
= 18 - 1 u
= 18 - 6
= 12
Answer(s): 12
