Question

10) (a) Translate the question below into an equation.

Answer 1

Part a) What percent of $4200.00 is $115.50?

Let us assume x % is $4200.00 is $115.50.

% represents out of (over 100).

So, x% could be written in fractions as x/100.

Therefore, we can setup an equation as

$\frac{x}{100}=\frac{115.50}{4200.00}$

This is the answer for first part.

Part B) We have x/100 = 115.50/4200.00 in part a.

Dividing 115.50 by 4200.00 on right side, we get

x/100 = 0.0275.

We have 100 in denominator of x.

In order to get rid number from denominator, we always multiply both sides by the number in denominator.

So, multiplying both sides by 100, we get

100* x/100 = 100* 0.0275.

We remain just x on left side.

On multiplying 0.0275 decimal number by 100, the decimal will move two digits right.

So, we get x= 2.75.

Therefore, $115.50 is  2.75% of $4200.00.