| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
How many 6-passenger vans will it take to drive all 99 members of the football team to an away game?
| 11 vans | |
| 4 vans | |
| 7 vans | |
| 17 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{99}{6} \) = 16\(\frac{1}{2}\)
So, it will take 16 full vans and one partially full van to transport the entire team making a total of 17 vans.
If all of a roofing company's 10 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 9 complete crews out on jobs?
| 14 | |
| 15 | |
| 8 | |
| 6 |
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 10 workers at the company now and that's enough to staff 5 crews so there are \( \frac{10}{5} \) = 2 workers on a crew. 9 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 9 x 2 = 18 total workers to staff the crews during the busy season. The company already employs 10 workers so they need to add 18 - 10 = 8 new staff for the busy season.
What is \( \frac{5}{8} \) - \( \frac{2}{10} \)?
| 2 \( \frac{5}{11} \) | |
| \(\frac{17}{40}\) | |
| 1 \( \frac{3}{11} \) | |
| \( \frac{7}{40} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{5 x 5}{8 x 5} \) - \( \frac{2 x 4}{10 x 4} \)
\( \frac{25}{40} \) - \( \frac{8}{40} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{25 - 8}{40} \) = \( \frac{17}{40} \) = \(\frac{17}{40}\)
If a mayor is elected with 60% of the votes cast and 76% of a town's 44,000 voters cast a vote, how many votes did the mayor receive?
| 23,742 | |
| 22,070 | |
| 20,064 | |
| 20,398 |
If 76% of the town's 44,000 voters cast ballots the number of votes cast is:
(\( \frac{76}{100} \)) x 44,000 = \( \frac{3,344,000}{100} \) = 33,440
The mayor got 60% of the votes cast which is:
(\( \frac{60}{100} \)) x 33,440 = \( \frac{2,006,400}{100} \) = 20,064 votes.
If there were a total of 150 raffle tickets sold and you bought 12 tickets, what's the probability that you'll win the raffle?
| 8% | |
| 5% | |
| 17% | |
| 3% |
You have 12 out of the total of 150 raffle tickets sold so you have a (\( \frac{12}{150} \)) x 100 = \( \frac{12 \times 100}{150} \) = \( \frac{1200}{150} \) = 8% chance to win the raffle.