In a kiosk that sells shirts, 280 white shirts were sold and 25% of the remaining shirts that were sold were black. Of the leftover, 60% of the shirts sold were red shirts and the rest were purple shirts. Given that the number of purple shirts sold was 10% of the total number of shirts sold, how many black and purple shirts were sold altogether?
25% =
25100 =
14 60% =
60100 =
35 10% =
10100 =
110
| White |
Black |
Red |
Purple |
| 280 |
1x5 |
3x5 |
| |
|
3x3 |
2x3 |
| 9x6 |
1x6 |
| 40 u |
5 u |
9 u |
6 u |
The total number of red and purple shirts is the combined repeated identity. Make the total number of red and purple shirts the same. LCM of 3 and 5 is 15.
The number of purple shirts is repeated. Make the number of purple shirts the same. LCM of 6 and 1 is 6.
Number of white shirts
= 54 u - 5 u - 9 u
= 40 u
40 u = 280
1 u = 280 ÷ 40 = 7
Number of black and purple shirts
= 5 u + 6 u
= 11 u
= 11 x 7
= 77
Answer(s): 77
