On a shelf, there were 44 hoodies and cardigans. Luke spilt soy milk on the shelf and stained 50% of the cardigans and 25% of the hoodies. If 29 hoodies and cardigans were still clean, how many clean cardigans were there?
| |
Hoodies |
Cardigans |
Total |
| Stained |
1 u |
1 p |
15 |
| Clean |
3 u |
1 p |
29 |
| Total |
4 u |
2 p |
44 |
50% =
50100 =
12 25% =
25100 =
14 Number of stained clothes
= 44 - 29
= 15
3 u + 1 p = 29
1 p = 29 - 3 u --- (1)
1 u + 1 p = 15
1 p = 15 - 1 u --- (2)
(2) - (1)
15 - 1 u = 29 - 3 u
3 u - 1 u = 29 - 15
2 u = 14
1 u = 14 ÷ 2 = 7
Number of clean cardigans is the same as the number of stained cardigans.
Number of clean cardigans
= 15 - 1 u
= 15 - 7
= 8
Answer(s): 8
