On a shelf, there were 76 shirts and sweaters. Harry spilt hot orange juice on the shelf and stained 50% of the sweaters and 20% of the shirts. If 50 shirts and sweaters were still clean, how many stained sweaters were there?
|
Shirts |
Sweaters |
Total |
Stained |
1 u |
1 p |
26 |
Clean |
4 u |
1 p |
50 |
Total |
5 u |
2 p |
76 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 76 - 50
= 26
4 u + 1 p = 50
1 p = 50 - 4 u --- (1)
1 u + 1 p = 26
1 p = 26 - 1 u --- (2)
(2) - (1)
26 - 1 u = 50 - 4 u
4 u - 1 u = 50 - 26
3 u = 24
1 u = 24 ÷ 3 = 8
Number of stained sweaters
= 26 - 1 u
= 26 - 8
= 18
Answer(s): 18