Since she spent 1/4 on the ticket, 3/5 of the remaining 3/4 of the money was spent on popcorn: 3/5 x 3/4 = 9/20.  This means 9/20 of the money was spent on popcorn so in total: 1/4 + 9/20 = 14/20 = 7/10 of her money was spent.  This leaves 3/10 of her money behind: 3/10x 10 = 3.00.

Set up a proportion: 18.50/5 = x/2.  Cross multiply and solve for x: 37 = 5x.... x = 7.40.

It's tempting to pick 1 hour, but that is a trick answer! Picture 3 men each painting 1 room. All 3 of the rooms are done after 3 hours, so each man actually spends 3 hours painting his room, not 1 hour. 

The easiest way to solve this is with a rate formula: 1 / combined time = 1 / Bob's time + 1 / Ron's time.  We know the combined time and Bob's time, so we can solve for Ron's time:

1/2 = 1/3 + 1/Ron's time

1/Ron's time = 1/2 – 1/3 = 1/6

Ron's time = 6 hours 

Although it seems as though "Quantity B is greater" is the correct answer at first glance, a further analysis indicates that this answer is a trap. If  and  are negative numbers, such as  and , then  would be the larger number. Similarly,  is larger if both  and  are positive numbers. Thus, it cannot be determined which variable is larger simply based on the information given.

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.