On a shelf, there were 114 skirts and cardigans. Julian spilt juice on the shelf and stained 50% of the cardigans and 10% of the skirts. If 93 skirts and cardigans were still clean, how many clean cardigans were there?
| |
Skirts |
Cardigans |
Total |
| Stained |
1 u |
1 p |
21 |
| Clean |
9 u |
1 p |
93 |
| Total |
10 u |
2 p |
114 |
50% =
50100 =
12 10% =
10100 =
110 Number of stained clothes
= 114 - 93
= 21
9 u + 1 p = 93
1 p = 93 - 9 u --- (1)
1 u + 1 p = 21
1 p = 21 - 1 u --- (2)
(2) - (1)
21 - 1 u = 93 - 9 u
9 u - 1 u = 93 - 21
8 u = 72
1 u = 72 ÷ 8 = 9
Number of clean cardigans is the same as the number of stained cardigans.
Number of clean cardigans
= 21 - 1 u
= 21 - 9
= 12
Answer(s): 12
