On a shelf, there were 24 skirts and cardigans. Owen spilt orange juice on the shelf and stained 50% of the cardigans and 25% of the skirts. If 17 skirts and cardigans were still clean, how many clean cardigans were there?
| |
Skirts |
Cardigans |
Total |
| Stained |
1 u |
1 p |
7 |
| Clean |
3 u |
1 p |
17 |
| Total |
4 u |
2 p |
24 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 24 - 17
= 7
3 u + 1 p = 17
1 p = 17 - 3 u --- (1)
1 u + 1 p = 7
1 p = 7 - 1 u --- (2)
(2) - (1)
7 - 1 u = 17 - 3 u
3 u - 1 u = 17 - 7
2 u = 10
1 u = 10 ÷ 2 = 5
Number of clean cardigans is the same as the number of stained cardigans.
Number of clean cardigans
= 7 - 1 u
= 7 - 5
= 2
Answer(s): 2
