On a shelf, there were 78 hoodies and jackets. Sean spilt hot coffee on the shelf and stained 50% of the jackets and 20% of the hoodies. If 51 hoodies and jackets were still clean, how many stained jackets were there?
|
Hoodies |
Jackets |
Total |
Stained |
1 u |
1 p |
27 |
Clean |
4 u |
1 p |
51 |
Total |
5 u |
2 p |
78 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 78 - 51
= 27
4 u + 1 p = 51
1 p = 51 - 4 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) - (1)
27 - 1 u = 51 - 4 u
4 u - 1 u = 51 - 27
3 u = 24
1 u = 24 ÷ 3 = 8
Number of stained jackets
= 27 - 1 u
= 27 - 8
= 19
Answer(s): 19