On a shelf, there were 78 blouses and hoodies. Jack spilt coffee on the shelf and stained 50% of the hoodies and 10% of the blouses. If 55 blouses and hoodies were still clean, how many clean hoodies were there?
| |
Blouses |
Hoodies |
Total |
| Stained |
1 u |
1 p |
23 |
| Clean |
9 u |
1 p |
55 |
| Total |
10 u |
2 p |
78 |
50% =
50100 =
12 10% =
10100 =
110 Number of stained clothes
= 78 - 55
= 23
9 u + 1 p = 55
1 p = 55 - 9 u --- (1)
1 u + 1 p = 23
1 p = 23 - 1 u --- (2)
(2) - (1)
23 - 1 u = 55 - 9 u
9 u - 1 u = 55 - 23
8 u = 32
1 u = 32 ÷ 8 = 4
Number of clean hoodies is the same as the number of stained hoodies.
Number of clean hoodies
= 23 - 1 u
= 23 - 4
= 19
Answer(s): 19
