In a shopping centre that sells vests, 2080 black vests were sold and 10% of the remaining vests that were sold were grey. Of the leftover, 50% of the vests sold were purple vests and the rest were yellow vests. Given that the number of yellow vests sold was 5% of the total number of vests sold, how many grey and yellow vests were sold altogether?
10% =
10100 =
110 50% =
50100 =
12 5% =
5100 =
120
| Black |
Grey |
Purple |
Yellow |
| 2080 |
1x2 |
9x2 |
| |
|
1x9 |
1x9 |
| 19x9 |
1x9 |
| 160 u |
2 u |
9 u |
9 u |
The total number of purple and yellow shirts is the combined repeated identity. Make the total number of purple and yellow shirts the same. LCM of 9 and 2 is 18.
The number of yellow shirts is repeated. Make the number of yellow shirts the same. LCM of 9 and 1 is 9.
Number of black vests
= 171 u - 2 u - 9 u
= 160 u
160 u = 2080
1 u = 2080 ÷ 160 = 13
Number of grey and yellow vests
= 2 u + 9 u
= 11 u
= 11 x 13
= 143
Answer(s): 143
