If you spend $55 for transportation and clear $250 a month, what percent of your income do you spend on transportation?

1 Answer
Mar 10, 2018

"$ 55 is 22% of $ 250"

Explanation:

The problem asks:
"55 is what percent of 250"

You can translate that question into math language and get an equation that's easy to solve.

"55   is   what percent   of   250"

55   =  color(white)(.....) (x)/(100)color(white)(.......)×   250

color(white)(..............)―――――――

55 = (x)/(100)× 250    Solve for x, already defined as "the percent"

1) Clear the fraction by multiplying both sides by 100 and letting the denominator cancel
After you multiply and cancel, you will get this:
5500 = x xx250

2) Save yourself the trouble of doing the division by dividing both sides to make the numbers smaller

Start by dividing both sides by 10
550 = 25x

Divide both sides by 5
110 = 5x

Again divide both sides by 5 to isolate x, already defined as "the percent"

22 = x

Answer:

"$55 is 22% of $250"

color(white)(..............)―――――――

Check

Calculate 22% of 250 to make sure it comes out to 55

color(white)(.....)250
color(white)(.)×color(white)(jj) .22 larr 0.22 = 22%
color(white)(....)―――
color(white)(.....) 500
color(white)(....) 500
color(white)(....)――
color(white)(....) 5500

Count out the two decimal places

55.00

Check