Question

Dan mixes 1/2 cup of regular milk for every 3/4 cup of chocolate milk to make his favorite drink. He wishes to make 15 cups of this mature to enjoy throughout the week How much regular milk and chocolate milk will he use?

Answer 1

1 cup of his favorite drink = 1/2 cup of regular milk + 3/4 cup of chocolate milk

Let:

A = Favorite drink

B = Regular milk

C = Chocolate milk

He wishes to make 15 cups of this mature to enjoy throughout the week, so:

$\begin{gathered} A=\frac{1}{2}B+\frac{3}{4}C \\ \text{Multiply both sides by 15:} \\ 15\cdot A=15\cdot(\frac{1}{2}B+\frac{3}{4}C) \\ 15A=\frac{15}{2}B+\frac{45}{4}C \end{gathered}$

He will need to mix 15/2 cup of regular milk and 45/4 cup of chocolate milk