How to find a ratio - ISEE Lower Level Quantitative Reasoning

Given that there are 3 peanuts for every 1 chocolate chip and 2 raisins, the proportion of raisins can be found by dividing the number of raisins by the sum of all the items in the mix. This results in:

.

Therefore, is the correct answer.

Since there are customers who order orange juice, is the first number of our ratio.

The second number of our ratio is , because people order coffee.

Therefore, our ratio is :

We know that Stacy has 1946 dimes.

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

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

Now our ratio of wheat pennies to 1986 quarters is , but this can be simplified because both numbers are divisible by .

So our ratio becomes

Counting Steve, there are forty attendees so far, fifteen of whom are girls and twenty-five of whom (including Steve) are boys. To obtain a two-to-one girl to boy ratio, he needs to invite a total of fifty girls, so he needs to invite thirty-five more.

If Scott's mother bakes 12 cookies and he eats half of them, that means he will eat 6 cookies, leaving 6 uneaten cookies.

If Scott's mom then puts red frosting on 4 cookies and blue frosting on the rest of the cookies, 2 cookies will get blue frosting. ().

Therefore, the ratio of cookies with red frosting to cookies with blue frosting is , which is equal to .

The ratio of Jose to Michael's height is .

Thus, if Jose is inches taller than Michael must be times shorter.

We can write this as the expression, .

Also, an equivalent ratio for = .

An equivalent ratio of is .

This is the furthest simplification of the ratio.
The greatest common divisor is needed to simplify the expression.

Both and are divisible by , and .

Thus, the correct answer is .

To solve this problem the relationship between the two numbers in the first ratio needs to be established.

Since, is times larger than , an equivalent ratio must have the same relationship.

Thus, must be times larger than , and

Thus,

First, find the number of boys in the class by subtracting the number of girls in the class from the total number of students.

Now, we know that the ratio of the number of boys in the class to the total number of students in the class is .

We can express that ratio as the following fraction:

First, find the number of girls in the class by subtracting the number of boys in the class from the total number of students.

Now, we know that the ratio of the number of boys in the class to the total number of students in the class is .

We can express that ratio as the following fraction:

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 . When we write that as a fraction, it becomes , so we can also say that the ratio of white puppies to black puppies is or .

We know that Stacy has 1946 dimes.

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

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

Now our ratio of wheat pennies to 1986 quarters is , but this can be simplified because both numbers are divisible by .

So our ratio becomes

In order to solve this problem, we must set up a ratio.

For every 16 oz of water, we need 6 tablespoons of lemon juice.

The ratio that we get is

16 : 6.

If we want to use only 8 oz of water, we need to find out how much lemon juice is needed.

The amount of lemon juice we need, x, is currently unknown.

Our new ratio is

8 : x.

Looking at the first number in the two ratios, dividing 16 by 8 will get us

16 ÷ 8 = 2.

Let's divide the second number in our first ratio by 2 to solve for x.

So,

6 ÷ 2 = 3.

We need 3 tablespoons of lemon juice for 8 oz of water.

There are 9 boys and 18 girls.

This is a ratio of

Reduce to get

Since there are 3 frogs and 12 toads, reduce by 3 to get .

Since there are 5 of each color, there are 25 total marbles in the bag. The probability of picking a red is

There are 36 dogs and 6 cats, leaving a dog to cat ratio of

Reduced, the answer is

.

The ratio needed is unsharpened to new box and it says there are 24 pencils in a new box. It does not say how many are unsharpened but it does give the amount that has been sharpened already.

To find the unsharpened amount subtract the number of pencils sharpened from the number of pencils in the new box. Therefore, it would be unsharpened pencils.

The ratio of unsharpened to new box would be .

The question asked for the ratio of the students NOT ready for lab to the students in the science class.

There are 15 students that are not ready for the computer lab.

There are 30 students in the science class.

Therefore, the ratio is .

Since 15 and 30 can be reduced by their greatest common factor of 15 the ratio is simplified to .

The ratio of boys to girls 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