Question

Stacia needs 39 diamonds for every 3 chandeliers she makes.Complete the table using equivalent ratios

Answer 1

Answer:

Part 1) $13\ diamonds$

Part 2) $y=3\ chandeliers$

Part 3) $x=52\ diamonds$

Part 4) $x=130\ diamonds$

Part 5) $y=40\ chandeliers$

The complete table in the attached figure N 2

Step-by-step explanation:

see the attached figure N 1 to better understand the problem

Let

x -----> the number of diamonds

y ----> the number of chandeliers

we know that

The ratio between the number of diamonds to the number of chandeliers is equal to

$\frac{x}{y}=\frac{39}{3}$ ----> equation A

Complete the table

Part 1) Find the number of diamonds if the number of chandeliers is equal to 1

so

For y=1

substitute in the equation A and solve for x

$\frac{x}{y}=\frac{39}{3}$

$\frac{x}{1}=\frac{39}{3}$

$x=13\ diamonds$

Part 2) Find the number of chandeliers if the number of diamonds is equal to 39

so

For x=39

substitute in the equation A and solve for x

$\frac{x}{y}=\frac{39}{3}$

$\frac{39}{y}=\frac{39}{3}$

$y=3\ chandeliers$

Part 3) Find the number of diamonds if the number of chandeliers is equal to 4

so

For y=4

substitute in the equation A and solve for x

$\frac{x}{y}=\frac{39}{3}$

$\frac{x}{4}=\frac{39}{3}$

$x=52\ diamonds$

Part 4) Find the number of diamonds if the number of chandeliers is equal to 10

so

For y=10

substitute in the equation A and solve for x

$\frac{x}{y}=\frac{39}{3}$

$\frac{x}{10}=\frac{39}{3}$

$x=130\ diamonds$

Part 5) Find the number of chandeliers if the number of diamonds is equal to 520

so

For x=520

substitute in the equation A and solve for x

$\frac{x}{y}=\frac{39}{3}$

$\frac{520}{y}=\frac{39}{3}$

$y=40\ chandeliers$