In a kiosk that sells windbreakers, 980 blue windbreakers were sold and 25% of the remaining windbreakers that were sold were brown. Of the leftover, 40% of the windbreakers sold were purple windbreakers and the rest were pink windbreakers. Given that the number of pink windbreakers sold was 10% of the total number of windbreakers sold, how many brown and blue windbreakers were sold altogether?
25% =
25100 =
14 40% =
40100 =
25 10% =
10100 =
110
Blue |
Brown |
Purple |
Pink |
980 |
1x5 |
3x5 |
|
|
2x3 |
3x3 |
9x9 |
1x9 |
70 u |
5 u |
6 u |
9 u |
The total number of purple and pink shirts is the combined repeated identity. Make the total number of purple and pink shirts the same. LCM of 3 and 5 is 15.
The number of pink shirts is repeated. Make the number of pink shirts the same. LCM of 9 and 1 is 9.
Number of blue windbreakers
= 81 u - 5 u - 6 u
= 70 u
70 u = 980
1 u = 980 ÷ 70 = 14
Number of brown and blue windbreakers
= 5 u + 980
= (5 x 14) + 980
= 70 + 980
= 1050
Answer(s): 1050