| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
In a class of 32 students, 15 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 19 | |
| 29 | |
| 9 | |
| 27 |
The number of students taking German or Spanish is 15 + 11 = 26. Of that group of 26, 3 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 26 - 3 = 23 who are taking at least one language. 32 - 23 = 9 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 40% off." If Roger buys two shirts, each with a regular price of $16, how much will he pay for both shirts?
| $21.60 | |
| $19.20 | |
| $6.40 | |
| $25.60 |
By buying two shirts, Roger will save $16 x \( \frac{40}{100} \) = \( \frac{$16 x 40}{100} \) = \( \frac{$640}{100} \) = $6.40 on the second shirt.
So, his total cost will be
$16.00 + ($16.00 - $6.40)
$16.00 + $9.60
$25.60
If all of a roofing company's 8 workers are required to staff 4 roofing crews, how many workers need to be added during the busy season in order to send 8 complete crews out on jobs?
| 1 | |
| 5 | |
| 8 | |
| 3 |
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 8 workers at the company now and that's enough to staff 4 crews so there are \( \frac{8}{4} \) = 2 workers on a crew. 8 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 8 x 2 = 16 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 16 - 8 = 8 new staff for the busy season.
What is the greatest common factor of 20 and 72?
| 4 | |
| 2 | |
| 6 | |
| 20 |
The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 3 factors [1, 2, 4] making 4 the greatest factor 20 and 72 have in common.
How many hours does it take a car to travel 80 miles at an average speed of 20 miles per hour?
| 1 hour | |
| 7 hours | |
| 5 hours | |
| 4 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{80mi}{20mph} \)
4 hours