Question

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 1

Step-by-step explanation:

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

`18\colon3`

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:

`(18)/(3)=6`

So, the cost to clean one sweater is $6

Therefore, the ratio that represents that is:

`6\colon1`

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:

`\begin{gathered} (18)/(3)\colon(3)/(3) \\ 6\colon1 \end{gathered}`

Answers: 1. 18:3

2. $6

3. 6:1 it is equivalent

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