| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
What is the greatest common factor of 28 and 32?
| 3 | |
| 2 | |
| 4 | |
| 26 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 32 are [1, 2, 4, 8, 16, 32]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 32 have in common.
If all of a roofing company's 9 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?
| 17 | |
| 10 | |
| 9 | |
| 2 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 9 workers at the company now and that's enough to staff 3 crews so there are \( \frac{9}{3} \) = 3 workers on a crew. 6 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 6 x 3 = 18 total workers to staff the crews during the busy season. The company already employs 9 workers so they need to add 18 - 9 = 9 new staff for the busy season.
In a class of 24 students, 8 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 8 | |
| 15 | |
| 12 | |
| 17 |
The number of students taking German or Spanish is 8 + 14 = 22. Of that group of 22, 6 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 22 - 6 = 16 who are taking at least one language. 24 - 16 = 8 students who are not taking either language.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $15, how much money will he save?
| $6.75 | |
| $7.50 | |
| $2.25 | |
| $6.00 |
By buying two shirts, Damon will save $15 x \( \frac{15}{100} \) = \( \frac{$15 x 15}{100} \) = \( \frac{$225}{100} \) = $2.25 on the second shirt.
Damon loaned Ezra $700 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $45 | |
| $49 | |
| $42 | |
| $44 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $700
i = 0.06 x $700
i = $42