In a kiosk that sells skirts, 1150 pink skirts were sold and 50% of the remaining skirts that were sold were purple. Of the leftover, 40% of the skirts sold were white skirts and the rest were black skirts. Given that the number of black skirts sold was 5% of the total number of skirts sold, how many purple and pink skirts were sold altogether?
50% =
50100 =
12 40% =
40100 =
25 5% =
5100 =
120
| Pink |
Purple |
White |
Black |
| 1150 |
1x5 |
1x5 |
| |
|
2x1 |
3x1 |
| 19x3 |
1x3 |
| 50 u |
5 u |
2 u |
3 u |
The total number of white and black shirts is the combined repeated identity. Make the total number of white and black shirts the same. LCM of 1 and 5 is 5.
The number of black shirts is repeated. Make the number of black shirts the same. LCM of 3 and 1 is 3.
Number of pink skirts
= 57 u - 5 u - 2 u
= 50 u
50 u = 1150
1 u = 1150 ÷ 50 = 23
Number of purple and pink skirts
= 5 u + 1150
= 5 x 23 + 1150
= 115 + 1150
= 1265
Answer(s): 1265
