Question

a bakery sold three kinds of muffins on Monday the ratio of cranberry to blueberry muffins sold was 2:3.the ratio of blueberry to cinnamon muffins sold was 4:1.if 60 blueberry muffins were sold on Monday how many more cranberry muffins than cinnamon muffins did the bakery sell? a.1b.20c.25d.40

Answer 1

We have three types of muffins A (cranberry), B (blueberry) and C (cinammon).

The ratio of cranberry to blueberry muffins was 2 to 3. That means that for every 2 cranberry muffins sold, there are 3 blueberry muffins sold.

This can be expressed as:

`\begin{gathered} A=(2)/(3)B \\ \end{gathered}`

The ratio of blueberry to cinnamon muffins sold was 4:1. That means that for every 4 blueberry muffins sold, there is one cinnamon muffins sold.

`\begin{gathered} B=4C \\ C=(1)/(4)B \end{gathered}`

Then, if the amount of blueberry muffins sold is 60, we have:

`\begin{gathered} A=(2)/(3)(60)=40 \\ C=(1)/(4)(60)=15 \end{gathered}`

Then, we have 40-15 = 25 more muffins sold of the cranberry type than the cinnamon type.

The answer is c. 25.