In a shop that sells windbreakers, 140 yellow windbreakers were sold and 50% of the remaining windbreakers that were sold were blue. Of the leftover, 40% of the windbreakers sold were pink windbreakers and the rest were brown windbreakers. Given that the number of brown windbreakers sold was 10% of the total number of windbreakers sold, how many blue and yellow windbreakers were sold altogether?
50% =
50100 =
12 40% =
40100 =
25 10% =
10100 =
110
Yellow |
Blue |
Pink |
Brown |
140 |
1x5 |
1x5 |
|
|
2x1 |
3x1 |
9x3 |
1x3 |
20 u |
5 u |
2 u |
3 u |
The total number of pink and brown shirts is the combined repeated identity. Make the total number of pink and brown shirts the same. LCM of 1 and 5 is 5.
The number of brown shirts is repeated. Make the number of brown shirts the same. LCM of 3 and 1 is 3.
Number of yellow windbreakers
= 27 u - 5 u - 2 u
= 20 u
20 u = 140
1 u = 140 ÷ 20 = 7
Number of blue and yellow windbreakers
= 5 u + 140
= (5 x 7) + 140
= 35 + 140
= 175
Answer(s): 175