On a shelf, there were 104 hoodies and cardigans. Asher spilt hot coffee on the shelf and stained 50% of the cardigans and 25% of the hoodies. If 71 hoodies and cardigans were still clean, how many stained cardigans were there?
| |
Hoodies |
Cardigans |
Total |
| Stained |
1 u |
1 p |
33 |
| Clean |
3 u |
1 p |
71 |
| Total |
4 u |
2 p |
104 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 104 - 71
= 33
3 u + 1 p = 71
1 p = 71 - 3 u --- (1)
1 u + 1 p = 33
1 p = 33 - 1 u --- (2)
(2) - (1)
33 - 1 u = 71 - 3 u
3 u - 1 u = 71 - 33
2 u = 38
1 u = 38 ÷ 2 = 19
Number of stained cardigans
= 33 - 1 u
= 33 - 19
= 14
Answer(s): 14
