How do you change a given rate into a unit rate.

Question

6 donuts cost a total of $3. What is the rate? Compute the unit rate.

Answer 1

Changing a Rate to a Unit Rate

A unit rate is a rate where the second quantity is 1. To find a unit rate, you divide both parts of the rate by the second quantity.

Your Example: 6 donuts cost $3

Step 1: Write the rate

1. Rate = $3 for 6 donuts
2. Written as a fraction: $3/6 donuts

Step 2: Find the unit rate (cost per 1 donut)

1. Divide both numbers by 6:
2. $3 ÷ 6 = $0.50
3. 6 donuts ÷ 6 = 1 donut

Answer: The unit rate is $0.50 per donut (or 50 cents per donut)

General Method

To find a unit rate:

1. Identify your rate (quantity A for quantity B)
2. Divide both quantities by the value of the second quantity
3. Express as "quantity A per 1 unit of B"

Example: If 4 apples cost $2, the unit rate is $2 ÷ 4 = $0.50 per apple.

Answer 2

Hello, thank you for taking the time to post your question!

To find the per unit rate you want to take the total cost and divide by the number of units

For this set of information that would mean taking $3 / 6 donuts = $0.50 per donut

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 3

$3 per 6 donuts

= 3/6 = 1/2 dollar per donut

= 50 cents per donut

Answer 4

Simply put, if you remember that the unit rate for any combination of figures is asking you for the rate of one item, then you're golden. In this case, you divide $3.00 by 6 donuts to find the unit rate of one donut, which is $0.50 for this case: $3.00/6 donuts = $0.50/1 donut.

The "unit rate" question is always a division question and the denominator is always the number of items, because you are trying to find a unit of measurement PER item. I second the comment above that the word "PER" signals division.

Answer 5

If we were to say 6 doughnuts cost you $3.

to say this is the same $3 per 6. So 6 doughnuts is $3. This is the current rate.

to find the unit price. We take the total price we divide that by the number of items in the total unit. in this case 6. So,

$3 / 6 = cost per doughnut.

now to make it simple let's break up 6 into 3 times 2 or 3* 2

$3 / (3 * 2)

So we will divide by 3 first and get the price per 2 doughnuts.

$3 / 3 = 1

Now divide by 2. Since three sets of 2 doughnuts are the same as 6.

$1 / 2 = 0.50

So each doughnut is 0.50 cent.

Answer 6

You can always find the unit rate by taking the given rate and apply division.

Example: $20 per 2 hours is the rate.

To find the unit rate, apply division like this $20 divide 2 hours and this will give you the unit rate.

The unit rate in this example is $10 per 1 hour. It can be written as a fraction 10/1 . notice the denominator is 1.

Answer 7

The rate is given as $3 for 6 donuts which can be expressed as a fraction:

Price/ (# of donuts) = $3/ (6 donuts)

The unit rate is the price per 1 donut (since unit implies 1).

Set up a proportion to find the unit rate:

$3. $ X

————— = —————-

(6 donuts) (1 donut)

1. cross-multiply and solve for X to find the unit rate

3 ⋅ 1 = 6 ⋅ X

3=6X

0.5 = X

X is in units of dollars so the unit rate is $0.50/ (1 donut) or 50 cents per donut.

Answer 8

How much does it cost for one doughnut?

You want to find the price per doughnut.

The word "per" implies to divide.

3.00 ÷ 6 = .50

The unit rate (unit implies 1) is 50 cents per doughnut.