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?

Monica had friends over for a party and ordered pizzas for everyone to eat After the party Monica saw that 1 23 of cheese pizza and 34 of the pepperoni pizza wa class=

Respuesta :

A. 1 2/3 cheese pizza was eaten

3/4 pepperoni pizza was eaten

In total

The total pizza that was eaten is

[tex]1\frac{2}{3}+\frac{3}{4}[/tex]

Convert the mixed fraction to improper fraction

This gives

[tex]\frac{5}{3}+\frac{3}{4}[/tex]

Add the fractions

[tex]\begin{gathered} \frac{5}{3}+\frac{3}{4} \\ =\frac{20+9}{12} \\ =\frac{29}{12} \\ =2\frac{5}{12} \end{gathered}[/tex]

Therefore the total pizza that was eaten is

[tex]2\frac{5}{12}[/tex]

B. If the total pizzas ordered is 4

The leftover pizza is

[tex]4-2\frac{5}{12}[/tex]

Substract

[tex]\begin{gathered} 4-\frac{29}{12} \\ =\frac{48-29}{12} \\ =\frac{19}{12} \\ =1\frac{7}{12} \end{gathered}[/tex]

Therefore, the leftover pizza is

[tex]1\frac{7}{12}[/tex]