Answer :
Given:
The ratio of the number of blueberry muffins to corn muffins was 8:5.
The ratio of corn muffins to poppy seed muffins was 4:3.
There were 150 poppy seed muffins.
To find:
Difference between blueberry muffins and poppy seed muffins.
Solution:
We have,
Blueberry : Corn = 8:5 = 32:20
Corn : Poppy seed = 4:3 = 20:15
So, Blueberry : Corn : Poppy seed = 32 : 20 : 15.
Let the number of Blueberry, Corn and Poppy seed muffin be 32x, 20x and 15x respectively.
There were 150 poppy seed muffins.
[tex]15x=150[/tex]
[tex]x=10[/tex]
Now,
Blueberry muffin = 32(10) = 320
Difference between blueberry muffins and poppy seed muffins is
[tex]320-150=170[/tex]
Therefore, the blueberry muffins are 170 more than poppy seed muffins.