| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
If all of a roofing company's 6 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 5 complete crews out on jobs?
| 5 | |
| 14 | |
| 4 | |
| 7 |
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 6 workers at the company now and that's enough to staff 3 crews so there are \( \frac{6}{3} \) = 2 workers on a crew. 5 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 5 x 2 = 10 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 10 - 6 = 4 new staff for the busy season.
How many 1 gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?
| 5 | |
| 6 | |
| 5 | |
| 10 |
To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{5 \text{ gallons}}{1 \text{ gallons}} \) = 5
If a car travels 225 miles in 9 hours, what is the average speed?
| 25 mph | |
| 65 mph | |
| 45 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)The total water usage for a city is 20,000 gallons each day. Of that total, 27% is for personal use and 48% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,600 | |
| 4,200 | |
| 1,500 | |
| 8,100 |
48% of the water consumption is industrial use and 27% is personal use so (48% - 27%) = 21% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{21}{100} \) x 20,000 gallons = 4,200 gallons.
In a class of 30 students, 9 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 22 | |
| 28 | |
| 17 | |
| 15 |
The number of students taking German or Spanish is 9 + 13 = 22. Of that group of 22, 7 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 - 7 = 15 who are taking at least one language. 30 - 15 = 15 students who are not taking either language.