Question

How to solve this question. I need to show my work for this question.

A cookie recipe calls for 3 eggs and makes 4 dozen cookies.
a). How many cookies could you make with a dozen eggs?
b). How many eggs would you need to make 18 dozen cookies?

Answer 1

Explanation:

Recall that 1 dozen = 12 so 4 dozen cookies has a total of 48 cookies. We are going to use the following ratios to solve the problem:

`\left(\frac{3\:\text{eggs}}{48\:\text{cookies}}\right)` and
`\left(\frac{48\:\text{cookies}}{3\:\text{eggs}}\right)`

a)
`12\:\text{eggs}×\left(\frac{48\:\text{cookies}}{3\:\text{eggs}}\right) = 192\:\text{cookies}`

b) 18 dozen cookies = 216 cookies

`216\:\text{cookies}×\left(\frac{3\:\text{eggs}}{48\:\text{cookies}}\right) = 13.5\:\text{eggs}`