On a shelf, there were 53 jackets and hoodies. Michael spilt coffee on the shelf and stained 50% of the hoodies and 20% of the jackets. If 37 jackets and hoodies were still clean, how many clean hoodies were there?
| |
Jackets |
Hoodies |
Total |
| Stained |
1 u |
1 p |
16 |
| Clean |
4 u |
1 p |
37 |
| Total |
5 u |
2 p |
53 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 53 - 37
= 16
4 u + 1 p = 37
1 p = 37 - 4 u --- (1)
1 u + 1 p = 16
1 p = 16 - 1 u --- (2)
(2) - (1)
16 - 1 u = 37 - 4 u
4 u - 1 u = 37 - 16
3 u = 21
1 u = 21 ÷ 3 = 7
Number of clean hoodies is the same as the number of stained hoodies.
Number of clean hoodies
= 16 - 1 u
= 16 - 7
= 9
Answer(s): 9
