On a shelf, there were 90 hoodies and sweaters. Paul spilt orange juice on the shelf and stained 50% of the sweaters and 25% of the hoodies. If 63 hoodies and sweaters were still clean, how many clean sweaters were there?
| |
Hoodies |
Sweaters |
Total |
| Stained |
1 u |
1 p |
27 |
| Clean |
3 u |
1 p |
63 |
| Total |
4 u |
2 p |
90 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 90 - 63
= 27
3 u + 1 p = 63
1 p = 63 - 3 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) - (1)
27 - 1 u = 63 - 3 u
3 u - 1 u = 63 - 27
2 u = 36
1 u = 36 ÷ 2 = 18
Number of clean sweaters is the same as the number of stained sweaters.
Number of clean sweaters
= 27 - 1 u
= 27 - 18
= 9
Answer(s): 9
