On a shelf, there were 61 cardigans and hoodies. Peter spilt juice on the shelf and stained 50% of the hoodies and 20% of the cardigans. If 38 cardigans and hoodies were still clean, how many clean hoodies were there?
|
Cardigans |
Hoodies |
Total |
Stained |
1 u |
1 p |
23 |
Clean |
4 u |
1 p |
38 |
Total |
5 u |
2 p |
61 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 61 - 38
= 23
4 u + 1 p = 38
1 p = 38 - 4 u --- (1)
1 u + 1 p = 23
1 p = 23 - 1 u --- (2)
(2) - (1)
23 - 1 u = 38 - 4 u
4 u - 1 u = 38 - 23
3 u = 15
1 u = 15 ÷ 3 = 5
Number of clean hoodies is the same as the number of stained hoodies.
Number of clean hoodies
= 23 - 1 u
= 23 - 5
= 18
Answer(s): 18