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## 6th grade

# Solving unit price problem

Nierria earns $75 for tutoring 4 hours. To find her hourly rate, we divide her total earnings by the number of hours worked. By calculating 75 divided by 4, we discover that Nierria makes $18.75 per hour for her tutoring services. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- how can i express 1 mile in 4 min???(7 votes)
- 0.25 miles per minute(137 votes)

- Is there any video that explains and defines what Rates are? If not, can someone help me and define it?(3 votes)
- A rate is like a ratio.(18 votes)

- I am still confused on ratios and units? what should i do?(5 votes)
- HI! this lesson might get confused but here is a brief explanation.

A unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. For example: 8/4 = 2 and 3/6 = 0.5. When we write numbers in decimal form, we can write them as a ratio with one as the denominator.

For example, we can write 2 as 2/1, and 0.5 as 0.5/1. However, since that approach can be a little clumsy, we usually drop the one. That said, it's important to remember the one is there, especially when working with unit rates.

For instance, 8 miles/4 hours = 2 miles/hour. Notice again that, while we did not include the 1, we did include the unit 'hour' Miles per hour is a familiar expression, as are unit rates such as:

interest/amount invested

revolutions/minute

salary/year

Hope this helps!(22 votes)

- Jacqueline spends 20% of her money on sweets and 32% on fares. if she spent $8 on sweets what is. (1) the amount of money she has left (2) The amount of money spent on fares (3) The amount she has left. I need help with this problem I am working on finding percentages using the unitary method on a calculator. But no matter what I do, I can't figure out the answers to this problem. what am I doing wrong?(6 votes)
- Set up a proportion using the information for sweets: 8/n = 20/100

Cross multiply: 20n = 800

Divide by 20: n = $40

This means Jacqueline started with $40

You can find the amount spent on fares by doing: x/40 = 32/100

Cross multiply: 100x = 1280

Divide by 100: x = $12.80

So, she spent $12.80 on fares

To find amount left, do: 40 - 8 - 12.80

Hope this helps.(11 votes)

- Thank you for the help! You are so kind.(7 votes)
- who else used a calculator for this?(8 votes)
- Reduce the following rates to their unit rate forms. Write the numerator of each unit rate in the box provided.

$40 per 8 Hours(4 votes)- You need to find dollars per hour.

Divide: 40/8 to find you answer.(7 votes)

- This is boring but helpful I think🥲(6 votes)
- At1:58, the company should charge for area not number of offices because it could be huge and another one is small and both are then same price.(6 votes)
- Yes, but it is a fictional company for one's education, not a real situation.(0 votes)

- Sir you need to tell us how to do it if it was in a different circumstance not every problem will be this convienient(2 votes)
- All unit rates problems use division. And, the problem tells you what unit rate they are looking for. Find the description of the unit rate given in the problem. For example, if it asks for:

Unit price, you do Price / units and divide.

Miles per hour, you do Miles / hours and divide.

Wages per hour, you do total wages / hours and divide.

Hope this helps.(5 votes)

## Video transcript

- [Instructor] We're told
that Nierria earns $75 for 4 hours of tutoring. How much does Nierria earn
for 1 hour of tutoring? Pause this video, and see
if you can figure that out. Well, the key here is $75
for 4 hours of tutoring. And there's a couple of
ways you can think about it. The ratio here is $75 for every 4 hours. So if you wanted one hour of tutoring, well, it's just going
to be 1/4 of the $75, or you could just take 75 and divide by 4. Another way you could think about it, you could say Nierria gets $75 for every 4 hours, which is another way of saying that Nierria is going to earn 75 divided by 4 dollars per hour. So really we just have to figure out what 75 divided by 4 is. So let's do a little bit of long division. So 4 goes into 7 one time, 1 times 4 is 4. We're going to subtract. 7 minus 4 is 3. Bring down that 5. 4 goes into 35 eight times. 8 times 4 is 32. I will subtract again. I get a 3. Well now I'm going to
get some decimals here, so let me bring down a zero. 4 goes into 30 seven times. 7 times 4 is 28. Subtract, and then I get a
2. Bring down another zero. 4 goes into 20 five times. 5 times 4 is 20, and I am done, no more remainder here. So we get that Nierria
earns 18.75 dollars, dollars per hour, or you can just say that
she makes $18.75 per hour.