In a shopping centre that sells shirts, 440 blue shirts were sold and 25% of the remaining shirts that were sold were pink. Of the leftover, 60% of the shirts sold were black shirts and the rest were red shirts. Given that the number of red shirts sold was 10% of the total number of shirts sold, how many pink and blue shirts were sold altogether?
25% =
25100 =
14 60% =
60100 =
35 10% =
10100 =
110
Blue |
Pink |
Black |
Red |
440 |
1x5 |
3x5 |
|
|
3x3 |
2x3 |
9x6 |
1x6 |
40 u |
5 u |
9 u |
6 u |
The total number of black and red shirts is the combined repeated identity. Make the total number of black and red shirts the same. LCM of 3 and 5 is 15.
The number of red shirts is repeated. Make the number of red shirts the same. LCM of 6 and 1 is 6.
Number of blue shirts
= 54 u - 5 u - 9 u
= 40 u
40 u = 440
1 u = 440 ÷ 25 = 11
Number of pink and blue shirts
= 5 u + 440
= 5 x 11 + 440
= 55 + 440
= 495
Answer(s): 495