On a shelf, there were 46 jackets and hoodies. Wesley spilt coffee on the shelf and stained 50% of the hoodies and 25% of the jackets. If 27 jackets and hoodies were still clean, how many clean hoodies were there?
|
Jackets |
Hoodies |
Total |
Stained |
1 u |
1 p |
19 |
Clean |
3 u |
1 p |
27 |
Total |
4 u |
2 p |
46 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 46 - 27
= 19
3 u + 1 p = 27
1 p = 27 - 3 u --- (1)
1 u + 1 p = 19
1 p = 19 - 1 u --- (2)
(2) - (1)
19 - 1 u = 27 - 3 u
3 u - 1 u = 27 - 19
2 u = 8
1 u = 8 ÷ 2 = 4
Number of clean hoodies is the same as the number of stained hoodies.
Number of clean hoodies
= 19 - 1 u
= 19 - 4
= 15
Answer(s): 15