All GED Math Resources
Example Question #35 : Complex Operations
At a party, there are 7 women with blonde hair, 9 women with brown hair, and 5 women with red hair. What is the proportion of women with blonde hair?
A proprotion is the number of a specific event (blonde women) divided by the total number of events (total number of women).
Example Question #36 : Complex Operations
Example Question #37 : Complex Operations
Example Question #38 : Complex Operations
A bag contains green marbles, red marbles, and blue marbles. What is the proportion of red marbles?
The proportion is equal to the number of specific events (red marbles) divided by the total number of events (sum of all colors).
Example Question #1 : Proportions And Percentages
What is of ?
Example Question #40 : Complex Operations
Sherry deposits $3,000 at 6% simple interest per year. How much will she have in this account after three years, assuming she does not make any withdrawals or deposits?
Use the simple interest formula
This is the simple interest earned. Add it to the original principal:
Example Question #2 : 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 be the maximum number of students admitted.
For the school to maintain a 15:4 student-teacher ratio with 120 instructors, the ratios and must be equal. Therefore, we solve the proportion statement for :
The maximum number of students it can admit is 450.
Example Question #3 : 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 be the maximum number of students admitted overall.
For the school to maintain a 25:6 student-teacher ratio with 90 instructors, the ratios and must be equal. Therefore, we solve the proportion statement for :
Since 240 spots are already filled by returning students, the medical school can admit up to new students.
Example Question #4 : 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 and . Of the four choices, only fits this criterion, so it is the correct choice.
Example Question #5 : Proportions And Percentages
Which of the following statements does not follow from the statement ?
From we can conclude the following:
is true, because the cross-products of a proportion statement are true.
is true, because if two ratios are equivalent, their reciprocals are equivalent.
can be demonstrated to be true as follows:
The fourth statement is false:
, which contradicts the statement that .