In a shopping centre that sells windbreakers, 1276 blue windbreakers were sold and 10% of the remaining windbreakers that were sold were purple. Of the leftover, 40% of the windbreakers sold were green windbreakers and the rest were brown windbreakers. Given that the number of brown windbreakers sold was 25% of the total number of windbreakers sold, how many purple and blue windbreakers were sold altogether?
10% =
10100 =
110 40% =
40100 =
25 25% =
25100 =
14
| Blue |
Purple |
Green |
Brown |
| 1276 |
1x5 |
9x5 |
| |
|
2x9 |
3x9 |
| 3x27 |
1x27 |
| 58 u |
5 u |
18 u |
27 u |
The total number of green and brown shirts is the combined repeated identity. Make the total number of green and brown shirts the same. LCM of 9 and 5 is 45.
The number of brown shirts is repeated. Make the number of brown shirts the same. LCM of 27 and 1 is 27.
Number of blue windbreakers
= 81 u - 5 u - 18 u
= 58 u
58 u = 1276
1 u = 1276 ÷ 10 = 22
Number of purple and blue windbreakers
= 5 u + 1276
= 5 x 22 + 1276
= 110 + 1276
= 1386
Answer(s): 1386
