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

Answer:

$5\ batches\ of\ cookies$

Step-by-step 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

$7\frac{1}{2}=\frac{7*2+1}{2}=\frac{15}{2}$

$1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

step 2

Applying proportion

Let

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

$\frac{(15/2)}{(3/2)}\frac{batches}{dozen\ eggs}=\frac{x}{1}\frac{batches}{dozen\ eggs}\\\\x=\frac{15}{3}\\\\x=5\ batches\ of\ cookies$