Kara categorized her spending this month
into four categories, rent, food, fun and other.
The amounts she spent in each category
are pictured here in our pie chart.
What percent of her total spending did she spend on fun?
Answer to the nearest whole percent.
So notice how we can tell from the pie chart
she spent $250 this month on fun,
but in order to find the total spent,
we need to find the sum of these four amounts.
Let's begin by doing this.
The total spent would be equal to 333 plus 417
plus 500 plus 250, which equals 1,500.
Now that we know that she spent a total
of $1,500 this month,
to determine what percent she spent on fun,
we want to answer the question 250 is what percent of 1,500?
Now there are several ways to solve this problem,
but notice how the fraction she spent on fun
would be 250 out of 1,500.
So this is the fraction she spent on fun,
so we can now convert this fraction into a decimal
and then into a percent to answer this question.
Well notice how this fraction does simplify.
It's not required to simplify this
to convert to a decimal and then a percent,
but let's go ahead and show how to simplify this.
Notice how both of these have a common factor of 250,
so if we simplify out the common factor of 250,
we would have 250 divided by 250 is one.
1,500 divided by 250 is equal to six.
So she spent 1/6 of her money on fun,
and now let's convert this fraction to a decimal
and then a percent.
To convert to a decimal, we divide.
So here we have one divided by six.
So one divided by six is approximately .167,
but if we want 0.167, then to convert a decimal to a percent
we multiply by 100 and move the decimal point
to the right to places and add a percent sign.
So this would be approximately 16.7%,
but notice how we are asked to round
to the nearest whole percent, so this would round to 17%.
So she spent approximately 17% of her money
on fun this month.
Now I'll also show how to set this up
using a percent equation and a percent proportion.
Using a percent equation, the first thing we see is 250,
so we have 250, the word is means equals,
so 250 equals, next we have what, or what percent,
this represents the unknown, so we'll use a variable,
let's use P for percent.
Of means multiplication, so times,
and then we have 1,500.
So to solve for P here, we would divide both sides by 1,500.
Simplifying, we have P
is going to be equal to this quotient,
which is the same quotient
we had for our fraction in our first method,
so this would simplify to 1/6,
but also notice that 250 divided by 1,500
still gives us approximately 0.167.
Converting to a percent, we would have 16.7%,
which is the same result rounding to 17%.
And finally as a percent proportion,
we know we'd have two rates or ratios equal to each other.
Here we're trying to find the percent,
which is a number compared to 100,
so let's have one ratio be P to 100.
This ratio here would be the part to the whole,
or the amount of money spent on fun, which is 250,
to the total spent of 1,500.
And now we cross multiply and solve for P,
1,500 times P must equal 250 times 100,
so 1,500P equals 250 times 100 is 25,000,
dividing by 1,500, simplifying,
we have P is equal to this quotient,
which we'll have to round, so 25,000 divided by 1,500
gives us approximately 16.7,
which notice now is a number compared to 100,
so we know this it's going to be approximately 16.7%,
which rounded to the nearest whole percent
again gives us 17%.
So of course you wouldn't solve this three different ways,
you want to use the method that makes the most sense to you,
and probably stick with that one method.
I hope you found this helpful.