On a shelf, there were 101 blouses and sweaters. Sean spilt orange juice on the shelf and stained 50% of the sweaters and 20% of the blouses. If 76 blouses and sweaters were still clean, how many clean sweaters were there?
|
Blouses |
Sweaters |
Total |
Stained |
1 u |
1 p |
25 |
Clean |
4 u |
1 p |
76 |
Total |
5 u |
2 p |
101 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 101 - 76
= 25
4 u + 1 p = 76
1 p = 76 - 4 u --- (1)
1 u + 1 p = 25
1 p = 25 - 1 u --- (2)
(2) - (1)
25 - 1 u = 76 - 4 u
4 u - 1 u = 76 - 25
3 u = 51
1 u = 51 ÷ 3 = 17
Number of clean sweaters is the same as the number of stained sweaters.
Number of clean sweaters
= 25 - 1 u
= 25 - 17
= 8
Answer(s): 8