Solve Proportions and their Applications: example 6.53

Translate and solve: $6.5%$ of what number is $$1.56 ?$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Translate and solve using proportions: $8.5%$ of what number is $$3.23 ?$

How did it go?

Identify the parts of the percent proportion.
Restate as a proportion.
Set up the proportion. Let $n =$ number.
Find the cross products and set them equal.
Simplify.
Divide both sides by 6.5 to isolate the variable.
Simplify.
Check if the answer is reasonable.
Yes. 6.5% is a small amount and $1.56 is much less than $24.
Write a complete sentence that answers the question.	6.5% of $24 is $1.56.

Identify the parts of the percent proportion.
Restate as a proportion.
Set up the proportion. Let $n =$ number.
Find the cross products and set them equal.
Simplify.
Divide both sides by 6.5 to isolate the variable.
Simplify.
Check if the answer is reasonable.
Yes. 6.5% is a small amount and $1.56 is much less than $24.
Write a complete sentence that answers the question.	6.5% of $24 is $1.56.