On a shelf, there were 88 blouses and cardigans. Elijah spilt coffee on the shelf and stained 50% of the cardigans and 25% of the blouses. If 62 blouses and cardigans were still clean, how many clean cardigans were there?
|
Blouses |
Cardigans |
Total |
Stained |
1 u |
1 p |
26 |
Clean |
3 u |
1 p |
62 |
Total |
4 u |
2 p |
88 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 88 - 62
= 26
3 u + 1 p = 62
1 p = 62 - 3 u --- (1)
1 u + 1 p = 26
1 p = 26 - 1 u --- (2)
(2) - (1)
26 - 1 u = 62 - 3 u
3 u - 1 u = 62 - 26
2 u = 36
1 u = 36 ÷ 2 = 18
Number of clean cardigans is the same as the number of stained cardigans.
Number of clean cardigans
= 26 - 1 u
= 26 - 18
= 8
Answer(s): 8