Question

Troy has 5/6 ounces of sprinkles to make cupcakes. The recipe uses 1/4 ounce per dozen of cupcakes. Write an expression which can be used to determine how many dozens of cupcakes Troy can make.
Help please? :)​

Answer 1

Answer:

$\frac{\frac{1}{4}}{1}=\frac{\frac{5}{6}}{x}$

Step-by-step explanation:

Per = 1

$\frac{1}{4}$

So, if we were to solve:

$\frac{1}{4}=\frac{5}{6x}$

$\frac{1}{4}\cdot \:6x=1\cdot \:5$

$\frac{3}{2}x=5$

$\frac{3}{2}x\cdot \:2=5\cdot \:2$

$3x=10$

$\frac{3x}{3}=\frac{10}{3}$

$x=\frac{10}{3}$

Troy can make $\frac{10}{3}$ dozen of cupcakes.