| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
What is the greatest common factor of 80 and 20?
| 19 | |
| 11 | |
| 20 | |
| 4 |
The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 6 factors [1, 2, 4, 5, 10, 20] making 20 the greatest factor 80 and 20 have in common.
Charlie loaned Bob $400 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $24 | |
| $32 | |
| $3 | |
| $65 |
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 $400
i = 0.08 x $400
i = $32
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 41,000 seats in a stadium are filled, how many home fans are in attendance?
| 34,167 | |
| 31,200 | |
| 30,833 | |
| 33,000 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
41,000 fans x \( \frac{5}{6} \) = \( \frac{205000}{6} \) = 34,167 fans.
A tiger in a zoo has consumed 77 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 105 pounds?
| 6 | |
| 3 | |
| 4 | |
| 2 |
If the tiger has consumed 77 pounds of food in 11 days that's \( \frac{77}{11} \) = 7 pounds of food per day. The tiger needs to consume 105 - 77 = 28 more pounds of food to reach 105 pounds total. At 7 pounds of food per day that's \( \frac{28}{7} \) = 4 more days.
If a mayor is elected with 78% of the votes cast and 51% of a town's 9,000 voters cast a vote, how many votes did the mayor receive?
| 3,580 | |
| 4,039 | |
| 3,305 | |
| 2,938 |
If 51% of the town's 9,000 voters cast ballots the number of votes cast is:
(\( \frac{51}{100} \)) x 9,000 = \( \frac{459,000}{100} \) = 4,590
The mayor got 78% of the votes cast which is:
(\( \frac{78}{100} \)) x 4,590 = \( \frac{358,020}{100} \) = 3,580 votes.