In a stall that sells vests, 175 purple vests were sold and 25% of the remaining vests that were sold were brown. Of the leftover, 50% of the vests sold were silver vests and the rest were green vests. Given that the number of green vests sold was 20% of the total number of vests sold, how many brown and purple vests were sold altogether?
25% =
25100 =
14 50% =
50100 =
12 20% =
20100 =
15
Purple |
Brown |
Silver |
Green |
175 |
1x2 |
3x2 |
|
|
1x3 |
1x3 |
4x3 |
1x3 |
7 u |
2 u |
3 u |
3 u |
The total number of silver and green shirts is the combined repeated identity. Make the total number of silver and green shirts the same. LCM of 3 and 2 is 6.
The number of green shirts is repeated. Make the number of green shirts the same. LCM of 3 and 1 is 3.
Number of purple vests
= 12 u - 2 u - 3 u
= 7 u
7 u = 175
1 u = 175 ÷ 25 = 25
Number of brown and purple vests
= 2 u + 175
= 2 x 25 + 175
= 50 + 175
= 225
Answer(s): 225