Question

Sam needs 7 1/2 cups of orange juice to make punch for a group of her friends. She only has 5 1/3 cups. Write and solve an equation to represent how many more cups of orange juice Sam needs

Answer 1

Answer:

Equation is $x+\frac{16}{3}=\frac{15}{2}$ where $x$ denotes number of cups of orange juice needed by Sam.

$x=\frac{13}{6}$

Step-by-step explanation:

Let $x$ denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch $=7\frac{1}{2} =\frac{15}{2}$

Number of cups with Sam $=5\frac{1}{3}=\frac{16}{3}$

Therefore,

$x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}$