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?

Respuesta :

Answer:

Number of muffins = 42

Number of cookies = 30

Step-by-step 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

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

Number of muffins, m = 42

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