Translate and solve using proportions: 85% of what number is $3.23?

Question

Viktor Wiley · Accepted Answer

Formula used:
Proportion is referred to as a statement that says two ratios are equal. There are two ways to write a proportion:
a. Using fraction form

\frac{a}{b} = \frac{c}{d}

b. Using colon for

a : b = c : d

If an equation in the form of

\frac{a}{b} = \frac{c}{d}

is a proportion, then their cross product are equal.
That is, we have

a \times c = b \times d

Calculation:
Given the below percent equation
"

8.5 %

of what number is $3.23?"
We need to first identify the parts of the percent proportion.
In the given percent equation,
$3.23-amount

8.5 %

-Percent
what number - Base
The above percent equation can be restated as
"3.23 out of what number is the same as 8.5 out of 100"
Let us assume that the number is x
Thus, the proportion is given as

\frac{3.23}{x} = \frac{8.5}{100}

Now, let us solve the above proportion.
We know that, the cross product is equal.
Thus, we have

3.23 \times 100 = 8.5 \times x

8.5 \times x = 3.23 \times 100

x = \frac{3.23 \times 100}{8.5}

x = \frac{323}{8.5}

x = 38

Conclusion:
Hence, the proportion is

\frac{3.23}{x} = \frac{8.5}{100}

On solving the proportion, the number is 38.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Translate and solve using proportions: 85\% of what number is

Answered question

Answer & Explanation

New Questions in Pre-Algebra