In a boutique that sells vests, 256 white vests were sold and 10% of the remaining vests that were sold were blue. Of the leftover, 50% of the vests sold were silver vests and the rest were yellow vests. Given that the number of yellow vests sold was 25% of the total number of vests sold, how many blue and white vests were sold altogether?
10% =
10100 =
110 50% =
50100 =
12 25% =
25100 =
14
| White |
Blue |
Silver |
Yellow |
| 256 |
1x2 |
9x2 |
| |
|
1x9 |
1x9 |
| 3x9 |
1x9 |
| 16 u |
2 u |
9 u |
9 u |
The total number of silver and yellow shirts is the combined repeated identity. Make the total number of silver 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 white vests
= 27 u - 2 u - 9 u
= 16 u
16 u = 256
1 u = 256 ÷ 10 = 16
Number of blue and white vests
= 2 u + 256
= 2 x 16 + 256
= 32 + 256
= 288
Answer(s): 288
