Question

A recipe for crumb cake says to mix 3/8 cup of brown sugar and 1/3 cup of white sugar. From this sugar mixture, set aside 1/4 cup for the crumb topping. The remaining sugar mixture is used to make the cake. What amount of the sugar mixture is used to make the cake?

Answer 1

brown sugar= $\frac{3}{8}$

white sugar= $\frac{1}{3}$

you need to mix brown sugar with white sugar

$\frac{3}{8}$ + $\frac{1}{3}$ = $\frac{9+8}{24}$ = $\frac{17}{24}$

then it says you need to set aside 1/4 for the crumb topping from the previous sugar mixture that was  $\frac{17}{24}$, so

$\frac{17}{24}$ - $\frac{1}{4}$ = $\frac{68-24}{96}$ = $\frac{11}{24}$

The sugar mixture used to make the cake is $\frac{11}{24}$