On a shelf, there were 48 cardigans and hoodies. Simon spilt hot soy milk on the shelf and stained 50% of the hoodies and 25% of the cardigans. If 29 cardigans and hoodies were still clean, how many stained hoodies were there?
| |
Cardigans |
Hoodies |
Total |
| Stained |
1 u |
1 p |
19 |
| Clean |
3 u |
1 p |
29 |
| Total |
4 u |
2 p |
48 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 48 - 29
= 19
3 u + 1 p = 29
1 p = 29 - 3 u --- (1)
1 u + 1 p = 19
1 p = 19 - 1 u --- (2)
(2) - (1)
19 - 1 u = 29 - 3 u
3 u - 1 u = 29 - 19
2 u = 10
1 u = 10 ÷ 2 = 5
Number of stained hoodies
= 19 - 1 u
= 19 - 5
= 14
Answer(s): 14
