GED Math : Complex Operations
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Example Questions
Example Question #7 : Proportions And Percentages
The ratio of students to instructors at a prestigious law school is 15:4. If the school employs 120 instructors, then how many students total must it limit itself to enrolling in order to maintain this student-instructor ratio?
Let 
For the school to maintain a 15:4 student-teacher ratio with 120 instructors, the ratios 
The maximum number of students it can admit is 450.
Example Question #8 : Proportions And Percentages
The ratio of students to instructors at a prestigious medical school is 25:6. The school employs 90 instructors, and there will be 240 students returning. How many new students must it limit itself to admitting in order to continue to maintain this student-instructor ratio?
Let 
For the school to maintain a 25:6 student-teacher ratio with 90 instructors, the ratios 
Since 240 spots are already filled by returning students, the medical school can admit up to 
Example Question #9 : Proportions And Percentages
Which of the following statements follows from the statement 
Two ratios are equivalent if and only if their cross-products are equal. We look for the proportion statement whose cross-products are 
Example Question #10 : Proportions And Percentages
Which of the following statements does not follow from the statement 
From 
The fourth statement is false:
Example Question #11 : Proportions And Percentages
Each student at an Asian-studies school is required to take one of three languages - Japanese, Chinese, or Korean. 15% of the students have chosen to take Korean, and three times as many have chosen to take Chinese. No student takes more than one language. What fraction of the students are taking Japanese?
15% of the students are taking Korean, and three times this, or 45%, are taking Chinese. This leaves
of the students taking Japanese. This is
of the students.
Example Question #12 : Proportions And Percentages
Each student at a college preparatory school is required to take one of three languages - French, German, or Russian. One fifth of the students have chosen to take Russian; there are twice as many students who have chosen to take French as there are students who have chosen to take German. No student takes more than one language.
What percent of the students are taking German?
One fifth of the students are taking Russian - this is
This leaves 
Let 
This is the correct response.
Example Question #11 : Proportions And Percentages
Refer to the above figure. The portions of the rectangle are of equal size.
What percent of the figure is white?
Out of the 20 portions of equal size, 6 are white. We find out what percent 6 is of 20 as follows:
Example Question #14 : Proportions And Percentages
One foot on a large map represents 100 miles of real distance. The distance between Harrison and Tyler is 328 miles. To the nearest inch, what is the distance between the two cities on the map?
One foot, or twelve inches, on the map represents 100 miles - a map inch to mile ratio of 
The cities will be 39 inches apart on the map.
Example Question #15 : Proportions And Percentages
Barry currently pays $580 in rent per month. As a reward for referring some new renters, Barry's landlord will decrease his rent by 20% from January through April, after which it will revert back to the current amount. How much rent will Barry pay from January to December?
20% of $580 is 
Barry will pay 
Example Question #16 : Proportions And Percentages
Julie has a gift card with $500 worth of credit on it. She wants to spend it at the store where she works, because she gets a 30% employee discount; also, the sales tax in the location of the store is 7%.
What is the maximum price, before discount and tax, of the merchandise that Julie can buy with the card?
Let 
Julie gets a 30% discount, so, after discount but before tax, the goods will cost her
Including the tax of 7%, she will pay
This can be at most $500, so we need to solve for 
Since we are looking at a maximum, we should round down to the nearest cent, so Julie can buy at most $667.55 worth of merchandise.
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