Answer:
See below:
Explanation:
Hello! My name is Galaxy and I will be helping you today :DD. I hope you are having a nice day.
So to solve this problem, we can split it into 4 sections, them being Converting, Solving, and Double Checking. I'll start off with converting.
Converting
To first setup/solve this problem, we can first convert the percentages into fractions so that we can multiply the problems by that to get our answers. To do that, let's setup a table of the percentages .
(The Decimals are in replacement of the percentages as 25% is equal to 0.25.)
Once we have done that, we have finished converting and are now ready to solve the problem.
Solving
We can first find the percent something is of something by converying it into a fraction/decimal and multiplying it by the number. For example, we made the chart above to help us, and we can use that now.
To solve for the first question we can multiply 5,000 by one fourth as we saw on the chart, it shows that.
Once we do that we get our answer for 2a:
Therefore 25% of 5,000 miles is 1250 miles!
To solve for the second one, we can multiply 5000 by one half to as we saw in the chart above.
Once we do that, we can get our final answer for 2b:
250 pounds is 50% of 500 pounds!
To solve for the 3rd one, we can multiply 8 by three-fourths to get our answer:
Once we do that we get our answer:
6 gallons is 75% of 8 gallons!
Checking Our Answers
To check for our answers, we can use algebra and undo what we have just done, giving us the following:
After checking our answers, we see that it is correct.
Cheers!