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SSAT Elementary Level Math : How to find a proportion

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All SSAT Elementary Level Math Resources

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Example Questions

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Example Question #11 : How To Find A Proportion

Solve for the variable:

$\frac{5}{9}=\frac{x}{27}$

Possible Answers:

135

Correct answer:

Explanation:

Cross multiply:

$5\times27=9\times x$

Solve for by dividing 135 by 9:

x=15

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Example Question #12 : How To Find A Proportion

Solve for the variable:

$\frac{3}{4}=\frac{6}{x}$

Possible Answers:

Correct answer:

Explanation:

There are two ways to solve. First, you may see that the top numbers are related by multiplying by 2.

3*2=6

This means that the bottom numbers must also be related by multiplying by 2.

4*2=x

8=x

The missing number is therefore 8.

The other way to solve is to cross multiply:

$\frac{3}{4}=\frac{6}{x}$

$3\times (x) = 4\times6$

3x = 24

Solve for by dividing 24 by 3:

$x = \frac{24}{3}=8$

$\frac{3}{4}=\frac{6}{8}$

The answer is again 8.

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Example Question #12 : How To Find A Proportion

Find the unknown value: $\frac{2}{3}= \frac{8}{x}$

Possible Answers:

$\frac{2}{3}$

$\frac{1}{12}$

$\frac{3}{16}$

$\frac{16}{3}$

Correct answer:

Explanation:

To solve the proportion, cross multiply and find the value of the missing variable.

$2x=8\times3$

2x=24

Divide by on both sides.

x=12

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Example Question #13 : How To Find A Proportion

Solve: $\frac{3}{7}= \frac{10}{x}$

Possible Answers:

$\frac{70}{3}$

$\frac{21}{10}$

$\frac{30}{7}$

$\frac{3}{70}$

$\frac{7}{30}$

Correct answer:

$\frac{70}{3}$

Explanation:

Solve by cross multipling the two fractions.

$3x=10\times7$

3x=70

Divide by on both sides.

$x=\frac{70}{3}$

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Example Question #15 : How To Find A Proportion

What is $10\%$ of 200 ?

Possible Answers:

Correct answer:

Explanation:

$10\%$ of 200 is calculated by multiplying . by 200 .

$.10\times 200=20$

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Example Question #16 : How To Find A Proportion

What is $10\%$ of ?

Possible Answers:

1.5

2.5

Correct answer:

2.5

Explanation:

$10\%$ of is calculated by multiplying by .

$.10 \times 25=2.5$

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Example Question #31 : Ratio And Proportion

Megan's teacher says that if Megan wants to join the girl's basketball team, she has to have at least $90\%$ of this quarter's homework turned in. If there have been assignments so far this quarter, how many of these does Megan have to have turned in so that she can join the team?

Possible Answers:

$45\ \text{assignments}$

$30\ \text{assignments}$

$27\ \text{assignments}$

$47\ \text{assignments}$

$35\ \text{assignments}$

Correct answer:

$45\ \text{assignments}$

Explanation:

In order to solve this problem, we need to make a ratio. Megan's teacher says she needs to have turned in 90% of her homework. First we need to change 90% into a fraction:

$\frac{90}{100}$

Using this information, we need to fill in the following ratio to find out how many assignments Megan needs to have turned in to be at 90% completion:

$\frac{90}{100} =$ $\frac{?}{50}$

To solve this ratio, we need to cross multiply.

$90\times 50\ = 450$

Now we have an equation to solve.

$450 = 100\times \textup{?}$

If we divide both sides by 100, we are left with our final answer.

$450 \div 100 =\: ?$

Megan must have at least 45 assignments turned in if she wants to join the basketball team.

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Example Question #31 : Numbers And Operations

If I have 6 red marbles and 5 blue marbles, what proportion of the marbles are red.

Possible Answers:

$\frac{5}{11}$

$\frac{6}{5}$

$\frac{5}{6}$

$\frac{6}{11}$

Correct answer:

$\frac{6}{11}$

Explanation:

To find a proportion, simply divide what you desire by the total.

In this problem the desired is the number of red marbles and the total is all of the marbels.

Thus,

$proportion=\frac{\#\ of\ reds}{\#\ of\ total}=\frac{6}{5+6}=\frac{6}{11}$

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Example Question #32 : Numbers And Operations

I have 7 green marbles and 4 blue marbles. Find the proportion of green marbles.

Possible Answers:

$\frac{7}{11}$

7:4

$\frac{4}{11}$

4:7

Correct answer:

$\frac{7}{11}$

Explanation:

To find a proportion, simply divide the desired amount by the total amount. We know our total by simply adding the marble amounts that compose it. Thus,

$Proportion=\frac{\#blue}{\#total}=\frac{7}{11}$

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Example Question #33 : Numbers And Operations

Solve the following proportion:

9:4 = x:24

Possible Answers:

x=36

x=13

x=63

x=29

x=54

Correct answer:

x=54

Explanation:

When solving a proportion, it is easiest to re-write it using fraction. So,

9:4 = x:24

can be re-written as

$\frac{9}{4} = \frac{x}{24}$

Now, to solve this, we will cross multiply and divide.

To cross multiply, we will take the numerator of the first fraction and multiply it by the denominator of the second fraction. Then, we multiply the denominator of the first fraction by the numerator in the second, and set them equal to each other.

It might be easier to see an example.

$9 \cdot 24 = 4 \cdot x$

216 = 4x

Now, we divide to solve for x.

$\frac{216}{4} = \frac{4x}{4}$

54 = x

x = 54

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SSAT Elementary Level Math : How to find a proportion

Study concepts, example questions & explanations for SSAT Elementary Level Math

All SSAT Elementary Level Math Resources

Example Questions

Example Question #11 : How To Find A Proportion

Example Question #12 : How To Find A Proportion

Example Question #12 : How To Find A Proportion

Example Question #13 : How To Find A Proportion

Example Question #15 : How To Find A Proportion

Example Question #16 : How To Find A Proportion

Example Question #31 : Ratio And Proportion

Example Question #31 : Numbers And Operations

Example Question #32 : Numbers And Operations

Example Question #33 : Numbers And Operations

All SSAT Elementary Level Math Resources

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