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The dry cleaning fee for 3 sweaters is $18.1) What ratio represents this situation?2) How much would it cost to clean 1 sweater? 3) what ratio represents that? What do we call that ratio? 4) how do you know? Explain your work or reasoning.

Answer :

Explanation:

The ratio of the dry cleaning fee to the number of sweaters is:

[tex]18\colon3[/tex]

Because the dry cleaning fee is 18 for 3 sweaters.

Then, to calculate what is the cost to clean 1 sweater, we need to divide $18 by 3, as:

[tex]\frac{18}{3}=6[/tex]

So, the cost to clean one sweater is $6

Therefore, the ratio that represents that is:

[tex]6\colon1[/tex]

Now, the ratio 18:3 and 6:1 are equivalents, because we can divide the first ratio by 3, and the result is the second:

[tex]\begin{gathered} \frac{18}{3}\colon\frac{3}{3} \\ 6\colon1 \end{gathered}[/tex]

Answers: 1. 18:3

2. $6

3. 6:1 it is equivalent

4. 18/3 : 3/3 => 6:1

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