In a shopping centre that sells vests, 300 green vests were sold and 25% of the remaining vests that were sold were pink. Of the leftover, 60% of the vests sold were blue vests and the rest were purple vests. Given that the number of purple vests sold was 5% of the total number of vests sold, how many pink and purple vests were sold altogether?
25% =
25100 =
14 60% =
60100 =
35 5% =
5100 =
120
| Green |
Pink |
Blue |
Purple |
| 300 |
1x5 |
3x5 |
| |
|
3x3 |
2x3 |
| 19x6 |
1x6 |
| 100 u |
5 u |
9 u |
6 u |
The total number of blue and purple shirts is the combined repeated identity. Make the total number of blue 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 green vests
= 114 u - 5 u - 9 u
= 100 u
100 u = 300
1 u = 300 ÷ 100 = 3
Number of pink and purple vests
= 5 u + 6 u
= 11 u
= 11 x 3
= 33
Answer(s): 33
