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?

Respuesta :

brown sugar= [tex]\frac{3}{8}[/tex]

white sugar= [tex]\frac{1}{3}[/tex]

you need to mix brown sugar with white sugar

[tex]\frac{3}{8}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{9+8}{24}[/tex] = [tex]\frac{17}{24}[/tex]

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

[tex]\frac{17}{24}[/tex] - [tex]\frac{1}{4}[/tex] = [tex]\frac{68-24}{96}[/tex] = [tex]\frac{11}{24}[/tex]

The sugar mixture used to make the cake is [tex]\frac{11}{24}[/tex]

Sugar mixture used to make Cake = 11 / 24

Given : Brown and White Sugar needed for cake = 3/8 and 1/3

Total mix of brown and white sugar = 3/8 brown add 1/3 white

[tex]3/8 + 1/3 \\= 3 (3) + 1 (8) / 24 \\= ( 9 + 8 ) / 24 \\= 17 / 24[/tex]

Sugar set aside for topping = 1 / 4

Remaining sugar, to be used to make cake = 17/24 less 1/24

[tex]17/24 - 1/4 \\= 17 - 1(6) / 24 \\= 11 / 24[/tex]

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