On a shelf, there were 38 jackets and cardigans. Howard spilt hot juice on the shelf and stained 50% of the cardigans and 10% of the jackets. If 27 jackets and cardigans were still clean, how many stained cardigans were there?
|
Jackets |
Cardigans |
Total |
Stained |
1 u |
1 p |
11 |
Clean |
9 u |
1 p |
27 |
Total |
10 u |
2 p |
38 |
50% =
50100 =
12 10% =
10100 =
110 Number of stained clothes
= 38 - 27
= 11
9 u + 1 p = 27
1 p = 27 - 9 u --- (1)
1 u + 1 p = 11
1 p = 11 - 1 u --- (2)
(2) - (1)
11 - 1 u = 27 - 9 u
9 u - 1 u = 27 - 11
8 u = 16
1 u = 16 ÷ 8 = 2
Number of stained cardigans
= 11 - 1 u
= 11 - 2
= 9
Answer(s): 9