In a shopping centre that sells vests, 288 purple vests were sold and 10% of the remaining vests that were sold were gold. Of the leftover, 50% of the vests sold were black vests and the rest were white vests. Given that the number of white vests sold was 25% of the total number of vests sold, how many gold and purple vests were sold altogether?
10% =
10100 =
110 50% =
50100 =
12 25% =
25100 =
14
| Purple |
Gold |
Black |
White |
| 288 |
1x2 |
9x2 |
| |
|
1x9 |
1x9 |
| 3x9 |
1x9 |
| 16 u |
2 u |
9 u |
9 u |
The total number of black and white shirts is the combined repeated identity. Make the total number of black and white shirts the same. LCM of 9 and 2 is 18.
The number of white shirts is repeated. Make the number of white shirts the same. LCM of 9 and 1 is 9.
Number of purple vests
= 27 u - 2 u - 9 u
= 16 u
16 u = 288
1 u = 288 ÷ 10 = 18
Number of gold and purple vests
= 2 u + 288
= 2 x 18 + 288
= 36 + 288
= 324
Answer(s): 324
