The ratio of blue hats to red hats IS 3:2 , the ratio of the blue hats all hats is 3:5 and If the store purchased 45 hats, 27 hats were blue
The ratio of blue hats to red hats is 9:6, which can be simplified to 3:2
Therefore the ratio of blue hats to red hats is 3: 2
The total number of hats is the summation of blue hats and red hats = 9+6= 15
So, The ratio of blue hats to all hats is 9:15, which can be simplified to 3:5
Therefore the ratio of blue hats to red hats is 3: 5
If the store purchased 45 hats, and we need to find out the number of blue hats
We have to assume the number of blue hats be x
Then the ratio becomes x: 45::3:5
We can also write this as
X= 3a and 45= 5a
The value of a comes out to be 9
So the number of blue hats purchased in the lot is 3a= 3 9 = 27
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