On a shelf, there were 58 blouses and hoodies. Julian spilt soy milk on the shelf and stained 50% of the hoodies and 25% of the blouses. If 35 blouses and hoodies were still clean, how many clean hoodies were there?
| |
Blouses |
Hoodies |
Total |
| Stained |
1 u |
1 p |
23 |
| Clean |
3 u |
1 p |
35 |
| Total |
4 u |
2 p |
58 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 58 - 35
= 23
3 u + 1 p = 35
1 p = 35 - 3 u --- (1)
1 u + 1 p = 23
1 p = 23 - 1 u --- (2)
(2) - (1)
23 - 1 u = 35 - 3 u
3 u - 1 u = 35 - 23
2 u = 12
1 u = 12 ÷ 2 = 6
Number of clean hoodies is the same as the number of stained hoodies.
Number of clean hoodies
= 23 - 1 u
= 23 - 6
= 17
Answer(s): 17
