On a shelf, there were 136 jackets and cardigans. Jeremy spilt hot coffee on the shelf and stained 50% of the cardigans and 10% of the jackets. If 116 jackets and cardigans were still clean, how many stained cardigans were there?
|
Jackets |
Cardigans |
Total |
Stained |
1 u |
1 p |
20 |
Clean |
9 u |
1 p |
116 |
Total |
10 u |
2 p |
136 |
50% =
50100 =
12 10% =
10100 =
110 Number of stained clothes
= 136 - 116
= 20
9 u + 1 p = 116
1 p = 116 - 9 u --- (1)
1 u + 1 p = 20
1 p = 20 - 1 u --- (2)
(2) - (1)
20 - 1 u = 116 - 9 u
9 u - 1 u = 116 - 20
8 u = 96
1 u = 96 ÷ 8 = 12
Number of stained cardigans
= 20 - 1 u
= 20 - 12
= 8
Answer(s): 8