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

Equation is
`x+(16)/(3)=(15)/(2)` where
`x` denotes number of cups of orange juice needed by Sam.

`x=(13)/(6)`

Explanation:

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

Number of cups needed to make punch
`=7(1)/(2) =(15)/(2)`

Number of cups with Sam
`=5(1)/(3)=(16)/(3)`

Therefore,

`x+(16)/(3)=(15)/(2)\\\\x= (15)/(2)-(16)/(3)\\\\x=(45-32)/(6)\\\\x=(13)/(6)`