On a shelf, there were 164 shirts and cardigans. Valen spilt hot juice on the shelf and stained 50% of the cardigans and 10% of the shirts. If 146 shirts and cardigans were still clean, how many stained cardigans were there?
| |
Shirts |
Cardigans |
Total |
| Stained |
1 u |
1 p |
18 |
| Clean |
9 u |
1 p |
146 |
| Total |
10 u |
2 p |
164 |
50% =
50100 =
12 10% =
10100 =
110 Number of stained clothes
= 164 - 146
= 18
9 u + 1 p = 146
1 p = 146 - 9 u --- (1)
1 u + 1 p = 18
1 p = 18 - 1 u --- (2)
(2) - (1)
18 - 1 u = 146 - 9 u
9 u - 1 u = 146 - 18
8 u = 128
1 u = 128 ÷ 8 = 16
Number of stained cardigans
= 18 - 1 u
= 18 - 16
= 2
Answer(s): 2
