Question

Karl makes 7 1/2 batches of cookies using 1 1/2 dozen eggs. Suppose Karl only

has a dozen eggs. How many batches of cookies could he make?

Answer 1

`5\ batches\ of\ cookies`

Explanation:

we know that

Karl makes 7 1/2 batches of cookies using 1 1/2 dozen eggs

so using proportion

Find out how many batches of cookies could he make with a dozen eggs

step 1

Convert mixed numbers to an improper fraction

`7(1)/(2)=(7*2+1)/(2)=(15)/(2)`

`1(1)/(2)=(1*2+1)/(2)=(3)/(2)`

step 2

Applying proportion

Let

x ----> the amount of batches of cookies

`((15/2))/((3/2))(batches)/(dozen\ eggs)=(x)/(1)(batches)/(dozen\ eggs)\\\\x=(15)/(3)\\\\x=5\ batches\ of\ cookies`