Question

The ratio of muffins in little red riding hoods basket to chocolate chip cookies is 7:5. If there are 12 fewer cookies than muffins, how many muffins and cookies are there?

Answer 1

Number of muffins = 42

Number of cookies = 30

Explanation:

Let number of muffins be m.

Given that there are 12 fewer cookies than muffins

Number of cookies = m - 12

The ratio of muffins in little red riding hoods basket to chocolate chip cookies is 7:5

That is

`\frac{\texttt{Number of muffins}}{\texttt{Number of cookies}}=(7)/(5)\\\\(m)/(m-12)=(7)/(5)\\\\5m=7(m-12)\\\\5m=7m-84\\\\2m=84\\\\m=42`

Number of muffins, m = 42

Number of cookies = m - 12 = 42 - 12 = 30