In a kiosk that sells shirts, 50 blue shirts were sold and 50% of the remaining shirts that were sold were purple. Of the leftover, 40% of the shirts sold were yellow shirts and the rest were silver shirts. Given that the number of silver shirts sold was 25% of the total number of shirts sold, how many purple and silver shirts were sold altogether?
50% =
50100 =
12 40% =
40100 =
25 25% =
25100 =
14
| Blue |
Purple |
Yellow |
Silver |
| 50 |
1x5 |
1x5 |
| |
|
2x1 |
3x1 |
| 3x3 |
1x3 |
| 2 u |
5 u |
2 u |
3 u |
The total number of yellow and silver shirts is the combined repeated identity. Make the total number of yellow and silver shirts the same. LCM of 1 and 5 is 5.
The number of silver shirts is repeated. Make the number of silver shirts the same. LCM of 3 and 1 is 3.
Number of blue shirts
= 9 u - 5 u - 2 u
= 2 u
2 u = 50
1 u = 50 ÷ 2 = 25
Number of purple and silver shirts
= 5 u + 3 u
= 8 u
= 8 x 25
= 200
Answer(s): 200
