On a shelf, there were 110 hoodies and sweaters. Albert spilt orange juice on the shelf and stained 50% of the sweaters and 10% of the hoodies. If 91 hoodies and sweaters were still clean, how many clean sweaters were there?
|
Hoodies |
Sweaters |
Total |
Stained |
1 u |
1 p |
19 |
Clean |
9 u |
1 p |
91 |
Total |
10 u |
2 p |
110 |
50% =
50100 =
12 10% =
10100 =
110 Number of stained clothes
= 110 - 91
= 19
9 u + 1 p = 91
1 p = 91 - 9 u --- (1)
1 u + 1 p = 19
1 p = 19 - 1 u --- (2)
(2) - (1)
19 - 1 u = 91 - 9 u
9 u - 1 u = 91 - 19
8 u = 72
1 u = 72 ÷ 8 = 9
Number of clean sweaters is the same as the number of stained sweaters.
Number of clean sweaters
= 19 - 1 u
= 19 - 9
= 10
Answer(s): 10