On a shelf, there were 37 hoodies and sweaters. Japheth spilt orange juice on the shelf and stained 50% of the sweaters and 20% of the hoodies. If 23 hoodies and sweaters were still clean, how many clean sweaters were there?
| |
Hoodies |
Sweaters |
Total |
| Stained |
1 u |
1 p |
14 |
| Clean |
4 u |
1 p |
23 |
| Total |
5 u |
2 p |
37 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 37 - 23
= 14
4 u + 1 p = 23
1 p = 23 - 4 u --- (1)
1 u + 1 p = 14
1 p = 14 - 1 u --- (2)
(2) - (1)
14 - 1 u = 23 - 4 u
4 u - 1 u = 23 - 14
3 u = 9
1 u = 9 ÷ 3 = 3
Number of clean sweaters is the same as the number of stained sweaters.
Number of clean sweaters
= 14 - 1 u
= 14 - 3
= 11
Answer(s): 11
