Question

Monica had friends over for a party and ordered pizzas for everyone to eat. After the party Monica saw that 1 2/3 of cheese pizza and 3/4 of the pepperoni pizza was eaten. A.) How much total pizza was eaten at the party? B.) If Monica ordered 4 pizzas for the party, how much was left over?

Answer 1

A. 1 2/3 cheese pizza was eaten

3/4 pepperoni pizza was eaten

In total

The total pizza that was eaten is

`1(2)/(3)+(3)/(4)`

Convert the mixed fraction to improper fraction

This gives

`(5)/(3)+(3)/(4)`

Add the fractions

`\begin{gathered} (5)/(3)+(3)/(4) \\ =(20+9)/(12) \\ =(29)/(12) \\ =2(5)/(12) \end{gathered}`

Therefore the total pizza that was eaten is

`2(5)/(12)`

B. If the total pizzas ordered is 4

The leftover pizza is

`4-2(5)/(12)`

Substract

`\begin{gathered} 4-(29)/(12) \\ =(48-29)/(12) \\ =(19)/(12) \\ =1(7)/(12) \end{gathered}`

Therefore, the leftover pizza is

`1(7)/(12)`