First count the total number of parts in the ratio.

Then we can set up a proportion representing . 

As the initial ratio shows, there are 6 pennies for every 14 total coins. In the total set, we have X pennies and 42 total coins. Plugging these numbers into the proportion gives .

Finally, we multiply both sides times 42 to isolate x.

2 gallons of lemonade equals 8 quarts of lemonade. To make 3 quarts of lemonade, you need  of the amount needed to make 2 gallons of lemonade, or 6 ounces of mix.

This problem states that there are  students in the class taking Calculus. Because the class has a total of  students, that means there are only  students in the class not taking Calculus. The problem also states that there are  students in the class taking Chinese. Because only  students in the class aren't taking Calculus, this means that there is a minimum of  students in the class that are taking both Calculus and Chinese.

For this problem, you must do conversions of from hours to seconds.  

Two hours is equal 120 minutes 

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120 minutes is equal to 7200 second 

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The train travels 8 feet per second so in 7200 seconds it travels 57600 feet 

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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.

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