Question

Luigi uses 39 cups of flour for every 6 pizzas he makes.Complete the table using equivalent ratios. Pizzas

6
4
Flour(cups) Blank
39
Blank
13

Answer 1

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

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

`(y)/(x)=(39)/(6)`

Part 1) Find out the number of cups of flour needed to make 4 pizzas

using a proportion

`(y)/(4)\ (cups\ of\ flour)/(pizzas)=(39)/(6)\ (cups\ of\ flour)/(pizzas)`

Solve for y

`y=(39)/(6)(4)`

`y=26\ cups\ of\ flour`

Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour

using a proportion

`(13)/(x)\ (cups\ of\ flour)/(pizzas)=(39)/(6)\ (cups\ of\ flour)/(pizzas)`

Solve for x

`x=13(6)/39`

`x=2\ pizzas`