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ISEE Lower Level Quantitative : How to find a ratio

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #11 : How To Find A Ratio

In a litter of $\displaystyle 12$ puppies, there are $\displaystyle 4$ black puppies and $\displaystyle 8$ white puppies. What is the ratio of the number of white puppies to black puppies?

Possible Answers:

1:2 $\displaystyle 1:2$

1:3 $\displaystyle 1:3$

2:3 $\displaystyle 2:3$

2:1 $\displaystyle 2:1$

Correct answer:

2:1 $\displaystyle 2:1$

Explanation:

The ratio wants us to compare the number of white puppies to the number of black puppies.

We can say the ratio of white puppies to black puppies is $8\text{ to } 4$ $\displaystyle 8\text{ to } 4$ . When we write that as a fraction, it becomes $\frac{8}{4}=\frac{2}{1}$ $\displaystyle \frac{8}{4}=\frac{2}{1}$ , so we can also say that the ratio of white puppies to black puppies is $2\text{ to }1$ $\displaystyle 2\text{ to }1$ or 2:1 $\displaystyle 2:1$ .

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Example Question #11 : How To Find A Ratio

Stacy has started collecting coins. She has twice as many wheat pennies as she does 1946 $\displaystyle 1946$ dimes, and three times as many 1983 $\displaystyle 1983$ quarters as she does 1946 $\displaystyle 1946$ dimes. If Stacy has $\small 4$ $\displaystyle \small 4$ 1946 $\displaystyle 1946$ dimes, what is the ratio of wheat pennies to 1983 $\displaystyle 1983$ quarters?

Possible Answers:

$\small 12:4$ $\displaystyle \small 12:4$

$\small 8:12$ $\displaystyle \small 8:12$

$\small 2:3$ $\displaystyle \small 2:3$

$\small 4:3$ $\displaystyle \small 4:3$

$\small 12:8$ $\displaystyle \small 12:8$

Correct answer:

$\small 2:3$ $\displaystyle \small 2:3$

Explanation:

We know that Stacy has $\small 4$ $\displaystyle \small 4$ 1946 dimes.

We also know that she has twice as many wheat pennies, so we must multiply $\small 4$ $\displaystyle \small 4$ by $\small 2$ $\displaystyle \small 2$ to find the total number of wheat pennies.

$\small 4\cdot 2=8$ $\displaystyle \small 4\cdot 2=8$

We also know that Stacy has three times as many 1986 quarters, so we multiply $\small 4$ $\displaystyle \small 4$ by $\small 3$ $\displaystyle \small 3$ to find the total number of 1986 quarters.

$\small 4\cdot 3=12$ $\displaystyle \small 4\cdot 3=12$

Now our ratio of wheat pennies to 1986 quarters is $\small 8:12$ $\displaystyle \small 8:12$ , but this can be simplified because both numbers are divisible by $\small 4$ $\displaystyle \small 4$ .

$\small (8/4)=2$ $\displaystyle \small (8/4)=2$

$\small (12/4)=3$ $\displaystyle \small (12/4)=3$

So our ratio becomes $\small 2:3$ $\displaystyle \small 2:3$

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : How to find a ratio

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #11 : How To Find A Ratio

Example Question #11 : How To Find A Ratio

All ISEE Lower Level Quantitative Resources

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