Question

1) Complete the statement to show an equivalent ratio.
) 18:10 is equivalent to
: 5.

Answer 1

Note that:

• 18:10 = x:5

Solving for x:

• 18:10 = x:5
• => 18/10 = x/5
• => 18/2 = x/1
• => 9 = x

The value of x that makes the ratio true is 9.

Answer 2

18:10 is equivalent to 9:5

Explanation:

Hello!

Ratios can be expressed as a fraction, such that a:b is the same as
`\frac{a}b`.

Similarly, we can use that for 18:10.

18:10 =
`(18)/(10)`

We can simplify this:

• 18:10 =
  `(18)/(10)`
• =
  `\frac95`

Now, let's assign the blank number as x

Let's represent it as a fraction:

• x :5 =
  `\frac{x}5`

Let's solve for the variable:

• 
  `\frac95 = (x)/(5) \hookrightarrow $multiply both sides by 5 to get rid of the denominator`
• 
  `9 = x`

There you have it! 18:10 = 9:5

-Chetan K