In a boutique that sells shirts, 416 yellow shirts were sold and 25% of the remaining shirts that were sold were grey. Of the leftover, 50% of the shirts sold were pink shirts and the rest were blue shirts. Given that the number of blue shirts sold was 5% of the total number of shirts sold, how many grey and blue shirts were sold altogether?
25% =
25100 =
14 50% =
50100 =
12 5% =
5100 =
120
| Yellow |
Grey |
Pink |
Blue |
| 416 |
1x2 |
3x2 |
| |
|
1x3 |
1x3 |
| 19x3 |
1x3 |
| 52 u |
2 u |
3 u |
3 u |
The total number of pink and blue shirts is the combined repeated identity. Make the total number of pink and blue shirts the same. LCM of 3 and 2 is 6.
The number of blue shirts is repeated. Make the number of blue shirts the same. LCM of 3 and 1 is 3.
Number of yellow shirts
= 57 u - 2 u - 3 u
= 52 u
52 u = 416
1 u = 416 ÷ 52 = 8
Number of grey and blue shirts
= 2 u + 3 u
= 5 u
= 5 x 8
= 40
Answer(s): 40
