Question

Each sheet cake requires 3 cups offlour and 2 cups of sugar. If a bakeryhas 75 cups of flour and 75 cups ofsugar, how many sheet cakes can bemade? Will there be any ingredientsleft over? Explain.

Answer 1

Let be "f" the number of sheet cakes that can be made using 75 cups of flour and "s" the number of sheet cakes that can be made using 75 cups of sugar.

According to the information given in the exercise, the bakery can make 1 sheet cake using 3 cups of flour and 2 cups of sugar.

Then, can set up that:

`\begin{gathered} (1)/(3)=(f)/(75) \\ \end{gathered}`

Solving for "f":

`\begin{gathered} (75)((1)/(3))=f \\ \\ f=25 \end{gathered}`

Set up the following proportion:

`(1)/(2)=(s)/(75)`

Solving for "s", you get:

`\begin{gathered} (75)((1)/(2))=(s)/(75) \\ \\ s=37.5 \end{gathered}`

Let be "c" the amount of cups of sugar the bakery needs to make 25 sheets cakes. You can find it as following:

`\begin{gathered} (2)/(1)=(c)/(25) \\ \\ (2)(25)=c \\ \\ c=50 \end{gathered}`

Therefore, you can conclude that the amount of sugar left over will be:

`75cups-50cups=25cups`

The answer are:

• 25 sheet cakes.

,

• 25 cups of sugar will be left over.