On a shelf, there were 74 shirts and jackets. Oliver spilt juice on the shelf and stained 50% of the jackets and 25% of the shirts. If 51 shirts and jackets were still clean, how many clean jackets were there?
| |
Shirts |
Jackets |
Total |
| Stained |
1 u |
1 p |
23 |
| Clean |
3 u |
1 p |
51 |
| Total |
4 u |
2 p |
74 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 74 - 51
= 23
3 u + 1 p = 51
1 p = 51 - 3 u --- (1)
1 u + 1 p = 23
1 p = 23 - 1 u --- (2)
(2) - (1)
23 - 1 u = 51 - 3 u
3 u - 1 u = 51 - 23
2 u = 28
1 u = 28 ÷ 2 = 14
Number of clean jackets is the same as the number of stained jackets.
Number of clean jackets
= 23 - 1 u
= 23 - 14
= 9
Answer(s): 9
