On a shelf, there were 132 cardigans and hoodies. Cody spilt coffee on the shelf and stained 50% of the hoodies and 20% of the cardigans. If 96 cardigans and hoodies were still clean, how many clean hoodies were there?
| |
Cardigans |
Hoodies |
Total |
| Stained |
1 u |
1 p |
36 |
| Clean |
4 u |
1 p |
96 |
| Total |
5 u |
2 p |
132 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 132 - 96
= 36
4 u + 1 p = 96
1 p = 96 - 4 u --- (1)
1 u + 1 p = 36
1 p = 36 - 1 u --- (2)
(2) - (1)
36 - 1 u = 96 - 4 u
4 u - 1 u = 96 - 36
3 u = 60
1 u = 60 ÷ 3 = 20
Number of clean hoodies is the same as the number of stained hoodies.
Number of clean hoodies
= 36 - 1 u
= 36 - 20
= 16
Answer(s): 16
