How to find a ratio - GRE Quantitative Reasoning

Quantity A: To determine the parts of sugar in the dessert, we use the following process. Let's first figure out the amount of sugar in the cake. This is 4/20. Next, find the amount of sugar in the icing topping: 3/20. Then, we need to account for the amount of cake and icing in the dessert. Using the fact that there are 2 parts cake and 3 parts icing, we can say that 2/5 of the dessert is cake and 3/5 is icing. Combining this information with the amount of sugar in both the cake and the icing, we obtain: 2/5 * 4/20 + 3/5 * 3/20 = 17/100. So, there are 17 parts of sugar in the dessert.

Quantity B: Use the same method to find the amount of milk: 2/5 * 5/20 + 3/5 * 2/20 = 16/100. So there are 16 parts milk in the dessert. Thus, Quantity A is larger.

Since the ratios are fixed, regardless of the actual values of , , or , we can let and

In order to convert to a form where we can relate to , we must set the coefficient of of each ratio equal such that the ratio can be transferred. This is done most easily by finding a common multiple of and (the ratio of to and , respectively) which is

Thus, we now have and .

Setting the values equal, we get , or a ratio of

First find the total number that own both motorbikes and vans of each group separately:

Group A:

Group B:

Now we have a ratio that should be:

For this problem, we need to find the number of employees who fall into the categories described, keeping in mind that multiple portions of the pie chart must be accommodated for. Then, we can fit them into a ratio:

For the "2 to 9 years" portion of the financial industry, include

(0.2 + 0.18)(12,000,000) = 4,560,000 workers.

For the "0 to 4 years" portion of the construction industry, include

(0.15 + 0.2)(8,000,000) = 2,800,000 workers.

Now divide and simplify to find the ratio:

4,560,000/2,800,000 = 8/5.

Since 40 loaves of bread are sold daily, and the ratio of bread to cakes is 5:2, then cakes are sold daily.

Using the ratio in the same way, we can find the additional amount of cakes sold:

cakes with approximation.

Thus, the total amount of cakes sold on Tuesday is cakes.

One teaspoon of salt requires 2 teaspoons of baking powder, which requires 16 teaspoons of milk and 32 teaspoons of sugar. 32 teaspoons of sugar requires 96 teaspoons of flour, which equals two cups of flour.

First, you have to set up the given ratios, which is 3 cookies : 2 cupcakes and 5 cookies : 6 pastries. Then, you find a common multiple of cookies (i.e. 15) and convert the ratios to 15 cookies : 10 cupcakes and 15 cookies : 18 pastries. Since both ratios now have 15 cookies, you can infer that the ration of cupcakes to pastries is 10:18 or 5:9.

Begin by eliminating people in the class who are not students. Subtracting 1 teacher, 1 administrator and 30 evaluators leaves 192 students.

We also need to determine the ratio of male students to total students from the information in the question. Out of every thirty-two students, thirteen are male.

Now we can set up a proportion, and solve for the number of male students.

First, pick a number for the original length and width. To make it easy, you can choose a length of 1 and width of 1, which would give it an area of 1. If we increased the length by 50% and decreased the width by 20%, then the dimensions of the new rectangle would be , which would give it an area of 1.2. Thus, the ratio of the new rectangle to the original rectangle is 6:5

You must convert all the measurements to inches first so the fence pieces will be

.

For one piece of fence, it would be two posts and one fence piece

.

For two pieces of fence, it would be three posts and two pieces of fence which would be the answer of

.

When selecting ratios for two variables (boys and girls) the two sides of the ratio must add up to be a factor of the total student count. The factors of 28 include 14, 7, 4, and 2. (1 + 1 = 2), (2 + 3 = 5), (3 + 4 = 7), and (1 + 3 = 4). 5 is the only nonfactor and cannot be the ratio of boys to girls, thus making 2 : 3 the correct answer.

Quantity A: To determine the parts of sugar in the dessert, we use the following process. Let's first figure out the amount of sugar in the cake. This is 4/20. Next, find the amount of sugar in the icing topping: 3/20. Then, we need to account for the amount of cake and icing in the dessert. Using the fact that there are 2 parts cake and 3 parts icing, we can say that 2/5 of the dessert is cake and 3/5 is icing. Combining this information with the amount of sugar in both the cake and the icing, we obtain: 2/5 * 4/20 + 3/5 * 3/20 = 17/100. So, there are 17 parts of sugar in the dessert.

Quantity B: Use the same method to find the amount of milk: 2/5 * 5/20 + 3/5 * 2/20 = 16/100. So there are 16 parts milk in the dessert. Thus, Quantity A is larger.

Since the ratios are fixed, regardless of the actual values of , , or , we can let and

In order to convert to a form where we can relate to , we must set the coefficient of of each ratio equal such that the ratio can be transferred. This is done most easily by finding a common multiple of and (the ratio of to and , respectively) which is

Thus, we now have and .

Setting the values equal, we get , or a ratio of

First find the total number that own both motorbikes and vans of each group separately:

Group A:

Group B:

Now we have a ratio that should be:

For this problem, we need to find the number of employees who fall into the categories described, keeping in mind that multiple portions of the pie chart must be accommodated for. Then, we can fit them into a ratio:

For the "2 to 9 years" portion of the financial industry, include

(0.2 + 0.18)(12,000,000) = 4,560,000 workers.

For the "0 to 4 years" portion of the construction industry, include

(0.15 + 0.2)(8,000,000) = 2,800,000 workers.

Now divide and simplify to find the ratio:

4,560,000/2,800,000 = 8/5.

Since 40 loaves of bread are sold daily, and the ratio of bread to cakes is 5:2, then cakes are sold daily.

Using the ratio in the same way, we can find the additional amount of cakes sold:

cakes with approximation.

Thus, the total amount of cakes sold on Tuesday is cakes.

One teaspoon of salt requires 2 teaspoons of baking powder, which requires 16 teaspoons of milk and 32 teaspoons of sugar. 32 teaspoons of sugar requires 96 teaspoons of flour, which equals two cups of flour.

First, you have to set up the given ratios, which is 3 cookies : 2 cupcakes and 5 cookies : 6 pastries. Then, you find a common multiple of cookies (i.e. 15) and convert the ratios to 15 cookies : 10 cupcakes and 15 cookies : 18 pastries. Since both ratios now have 15 cookies, you can infer that the ration of cupcakes to pastries is 10:18 or 5:9.

Begin by eliminating people in the class who are not students. Subtracting 1 teacher, 1 administrator and 30 evaluators leaves 192 students.

We also need to determine the ratio of male students to total students from the information in the question. Out of every thirty-two students, thirteen are male.

Now we can set up a proportion, and solve for the number of male students.