| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
The total water usage for a city is 50,000 gallons each day. Of that total, 18% 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?
| 5,500 | |
| 15,000 | |
| 7,200 | |
| 1,500 |
48% of the water consumption is industrial use and 18% is personal use so (48% - 18%) = 30% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{30}{100} \) x 50,000 gallons = 15,000 gallons.
If there were a total of 50 raffle tickets sold and you bought 3 tickets, what's the probability that you'll win the raffle?
| 9% | |
| 10% | |
| 7% | |
| 3% |
You have 3 out of the total of 50 raffle tickets sold so you have a (\( \frac{3}{50} \)) x 100 = \( \frac{3 \times 100}{50} \) = \( \frac{300}{50} \) = 7% chance to win the raffle.
If all of a roofing company's 15 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 8 complete crews out on jobs?
| 11 | |
| 13 | |
| 9 | |
| 17 |
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 15 workers at the company now and that's enough to staff 5 crews so there are \( \frac{15}{5} \) = 3 workers on a crew. 8 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 8 x 3 = 24 total workers to staff the crews during the busy season. The company already employs 15 workers so they need to add 24 - 15 = 9 new staff for the busy season.
In a class of 22 students, 8 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 20 | |
| 12 | |
| 15 |
The number of students taking German or Spanish is 8 + 6 = 14. Of that group of 14, 4 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 14 - 4 = 10 who are taking at least one language. 22 - 10 = 12 students who are not taking either language.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 37 | |
| 54 | |
| 55 | |
| 46 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46