On a shelf, there were 106 jackets and blouses. Vincent spilt tea on the shelf and stained 50% of the blouses and 20% of the jackets. If 77 jackets and blouses were still clean, how many clean blouses were there?
|
Jackets |
Blouses |
Total |
Stained |
1 u |
1 p |
29 |
Clean |
4 u |
1 p |
77 |
Total |
5 u |
2 p |
106 |
50% =
50100 =
12 20% =
20100 =
15 Number of stained clothes
= 106 - 77
= 29
4 u + 1 p = 77
1 p = 77 - 4 u --- (1)
1 u + 1 p = 29
1 p = 29 - 1 u --- (2)
(2) - (1)
29 - 1 u = 77 - 4 u
4 u - 1 u = 77 - 29
3 u = 48
1 u = 48 ÷ 3 = 16
Number of clean blouses is the same as the number of stained blouses.
Number of clean blouses
= 29 - 1 u
= 29 - 16
= 13
Answer(s): 13