On a shelf, there were 24 shirts and sweaters. Jack spilt hot coffee on the shelf and stained 50% of the sweaters and 25% of the shirts. If 14 shirts and sweaters were still clean, how many stained sweaters were there?
| |
Shirts |
Sweaters |
Total |
| Stained |
1 u |
1 p |
10 |
| Clean |
3 u |
1 p |
14 |
| Total |
4 u |
2 p |
24 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 24 - 14
= 10
3 u + 1 p = 14
1 p = 14 - 3 u --- (1)
1 u + 1 p = 10
1 p = 10 - 1 u --- (2)
(2) - (1)
10 - 1 u = 14 - 3 u
3 u - 1 u = 14 - 10
2 u = 4
1 u = 4 ÷ 2 = 2
Number of stained sweaters
= 10 - 1 u
= 10 - 2
= 8
Answer(s): 8
