On a shelf, there were 106 sweaters and cardigans. Jenson spilt hot tea on the shelf and stained 50% of the cardigans and 20% of the sweaters. If 74 sweaters and cardigans were still clean, how many stained cardigans were there?
|
Sweaters |
Cardigans |
Total |
Stained |
1 u |
1 p |
32 |
Clean |
4 u |
1 p |
74 |
Total |
5 u |
2 p |
106 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 106 - 74
= 32
4 u + 1 p = 74
1 p = 74 - 4 u --- (1)
1 u + 1 p = 32
1 p = 32 - 1 u --- (2)
(2) - (1)
32 - 1 u = 74 - 4 u
4 u - 1 u = 74 - 32
3 u = 42
1 u = 42 ÷ 3 = 14
Number of stained cardigans
= 32 - 1 u
= 32 - 14
= 18
Answer(s): 18