Answer:
Part 1) The number of cups of flour needed to make 4 pizzas is 26
Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2
Step-by-step explanation:
we know that
Luigi uses 39 cups of flour for every 6 pizzas he makes
Let
y ----> the number of cups of flour used
x ---> the number of pizzas he makes
In this problem
The relationship between the variables x, and y, represent a proportional variation
we have the ordered pair (6,39)
so
[tex]\frac{y}{x}=\frac{39}{6}[/tex]
Part 1) Find out the number of cups of flour needed to make 4 pizzas
using a proportion
[tex]\frac{y}{4}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}[/tex]
Solve for y
[tex]y=\frac{39}{6}(4)[/tex]
[tex]y=26\ cups\ of\ flour[/tex]
Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour
using a proportion
[tex]\frac{13}{x}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}[/tex]
Solve for x
[tex]x=13(6)/39[/tex]
[tex]x=2\ pizzas[/tex]
