ISEE Lower Level Math : How to find a ratio

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

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Example Questions

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Example Question #31 : Ratio And Proportion

The scale on a map is 2cm : 12km . If and the actual distance between two lakes is 600 km, find the distance between the lakes as shown on a map.

Possible Answers:

Correct answer:

Explanation:

To solve this problem, set up the proportion:

Cross multiply:

Divide both sides by 12 to isolate x.

 

Example Question #31 : How To Find A Ratio

You and a friend win a raffle of .  You and him split it with a ratio of  since he paid more into the raffle.  What is your share?

Possible Answers:

Correct answer:

Explanation:

Since there are a total of five shares in the ratio 

 

and you get two shares, your share is  of the total.  

 

and 

 

Your share is .

Example Question #31 : How To Find A Ratio

If three friends start a business and two invested equally while the third invested twice the amount each of them did, what is the ratio for their shares?

Possible Answers:

Correct answer:

Explanation:

Since the first two have to be equal, you can start by representing them by  share apiece.  

The third invested twice the amount that each of the others did so you double their share to get .  

So the first friend gets one share and so does the second.  

The third friend gets two shares and the ratios looks like,

 .

Example Question #34 : How To Find A Ratio

Sharon has  marbles,  of which are blue and  of which are white. Write the ratio of blue marbles to white marbles in simplest form.

Possible Answers:

Correct answer:

Explanation:

The ratio of blue marbles to white marbles is , but this is not in simplest form. Rewrite this as a fraction for simplicity, then divide both numbers by :

In simplest form, the ratio is 

Example Question #32 : Ratio And Proportion

A fruit punch recipe calls for 1 cup of orange juice, half a cup of pineapple juice, and 2 cups of soda. What is the ratio of orange juice to pineapple juice to soda water?

Possible Answers:

Correct answer:

Explanation:

If a fruit punch recipe calls for 1 cup or orange juice, half a cup of pineapple juice, and 2 cups of soda, the ratio would be:

Multiply all three numbers by 2:

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