Question

Lyle works at a bakery. He needs to mix 1 cup of brown sugar and 12 cup of granulated sugar to make each tray of 60 cookies. Each week, Lyle uses a total of 75 cups of his sugar mixture. How many trays of cookies does Lyle make each week? What is the total number of cookies he makes in a week?

Answer 1

50 trays

3000 cookies

Explanation:

We are given the following in the question:

1 cup of brown sugar and
`(1)/(2)` cup of granulated sugar makes a tray of 60 cookies.

Total cups of sugar used(brown and granulated) = 1.5 cups

Number of sugar cups used by Lyle each week = 75

We have to find the number of trays made each week.

`\text{Ratio} = \frac{\text{Cups of sugar mixture}}{\text{Number of trays}}\\\\(1.5)/(1) = \frac{75}{\text{Number of trays}}\\\\\Rightarrow \text{Number of trays} = (75)/(1.5) = 50`

Thus, 50 trays of cookies are made each week.

Total number of cookies made each week =

`=\text{Number of trays}* \text{Number of cookies in 1 tray}\\=50* 60\\=3000`

Thus, 3000 cookies are made each week.