On a shelf, there were 44 shirts and sweaters. Brandon spilt tea on the shelf and stained 50% of the sweaters and 20% of the shirts. If 25 shirts and sweaters were still clean, how many clean sweaters were there?
| |
Shirts |
Sweaters |
Total |
| Stained |
1 u |
1 p |
19 |
| Clean |
4 u |
1 p |
25 |
| Total |
5 u |
2 p |
44 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 44 - 25
= 19
4 u + 1 p = 25
1 p = 25 - 4 u --- (1)
1 u + 1 p = 19
1 p = 19 - 1 u --- (2)
(2) - (1)
19 - 1 u = 25 - 4 u
4 u - 1 u = 25 - 19
3 u = 6
1 u = 6 ÷ 3 = 2
Number of clean sweaters is the same as the number of stained sweaters.
Number of clean sweaters
= 19 - 1 u
= 19 - 2
= 17
Answer(s): 17
