According to a recipe to bake a cake, you need ¾ cups of sugar. How much sugar would you need to make 12 1/2 cakes using this recipe?

Respuesta :

we know that

¾ cups of sugar --------> one cake

so

Applying proportion

Find out How much sugar would you need to make 12 1/2 cakes

First

Remember that

12 1/2=12+1/2=25/2

therefore

[tex]\begin{gathered} \frac{\frac{3}{4}}{1}=\frac{x}{\frac{25}{2}} \\ \\ x=\frac{3}{4}*\frac{25}{2} \\ \\ x=\frac{75}{8}\text{ cups} \end{gathered}[/tex]

Convert 75/8 cups to a mixed number

75/8=72/8+3/8=9+3/8=9 3/8 cups of sugar

the answer is

9 3/8 cups of sugar