Question

What value of x makes this proportion true? x/6=36/24 O A. 8 O B. 9 O C. 18 O D. 7​

Answer 1

B. 9

Explanation:

Proportions are just like fractions and to figure them out sometimes you can use simplification in different forms.

`(x)/(6)` =
`(36)/(24)`

Now to get to 6, 24 had to be divided by 4...in proportions and fractions usually, the top and bottom are both simplified or proportioned to the same number or scale

36 ÷ 4 = 9

Check your answer by inserting it there to see if it works

9*4 = 36 6*4 = 24

Answer 2

`\boxed {\boxed {\sf B. \ 9}}`

Explanation:

We are given this proportion:

`\frac {x}{6}=(36)/(24)`

We want to solve for x, so we must isolate the variable using inverse operations.

It is being divided by 6. The inverse of division is multiplication, so we multiply both sides of the proportion by 6.

`6*\frac {x}{6}=(36)/(24)*6`

`x=(36)/(24)*6`

`x=1.5*6 \\x=9`

Another way to solve is with cross multiplication. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

`\frac { x}{6}=(36)/(24)`

`24*x=6*36`

`24x=216`

The variable is being multiplied by 24. The inverse of multiplication is division, so we divide both sides of the equation by 24.

`24x/24=216/24\\x=9`

The value of x that makes this proportion true is 9.