In a boutique that sells skirts, 480 yellow skirts were sold and 25% of the remaining skirts that were sold were grey. Of the leftover, 40% of the skirts sold were purple skirts and the rest were pink skirts. Given that the number of pink skirts sold was 5% of the total number of skirts sold, how many grey and yellow skirts were sold altogether?
25% =
25100 =
14 40% =
40100 =
25 5% =
5100 =
120
| Yellow |
Grey |
Purple |
Pink |
| 480 |
1x5 |
3x5 |
| |
|
2x3 |
3x3 |
| 19x9 |
1x9 |
| 160 u |
5 u |
6 u |
9 u |
The total number of purple and pink shirts is the combined repeated identity. Make the total number of purple and pink shirts the same. LCM of 3 and 5 is 15.
The number of pink shirts is repeated. Make the number of pink shirts the same. LCM of 9 and 1 is 9.
Number of yellow skirts
= 171 u - 5 u - 6 u
= 160 u
160 u = 480
1 u = 480 ÷ 25 = 3
Number of grey and yellow skirts
= 5 u + 480
= 5 x 3 + 480
= 15 + 480
= 495
Answer(s): 495
