| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.55 |
| Score | 0% | 51% |
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 50,000 seats in a stadium are filled, how many home fans are in attendance?
| 38,400 | |
| 33,333 | |
| 27,333 | |
| 22,000 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
50,000 fans x \( \frac{2}{3} \) = \( \frac{100000}{3} \) = 33,333 fans.
If a mayor is elected with 51% of the votes cast and 42% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?
| 5,141 | |
| 5,242 | |
| 6,149 | |
| 6,048 |
If 42% of the town's 24,000 voters cast ballots the number of votes cast is:
(\( \frac{42}{100} \)) x 24,000 = \( \frac{1,008,000}{100} \) = 10,080
The mayor got 51% of the votes cast which is:
(\( \frac{51}{100} \)) x 10,080 = \( \frac{514,080}{100} \) = 5,141 votes.
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 15 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 27 | |
| 14 | |
| 16 | |
| 20 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{50}{100} \) = \( \frac{50 x 15}{100} \) = \( \frac{750}{100} \) = 7 shots
The center makes 35% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{7}{\frac{35}{100}} \) = 7 x \( \frac{100}{35} \) = \( \frac{7 x 100}{35} \) = \( \frac{700}{35} \) = 20 shots
to make the same number of shots as the guard and thus score the same number of points.
Jennifer scored 84% on her final exam. If each question was worth 2 points and there were 140 possible points on the exam, how many questions did Jennifer answer correctly?
| 73 | |
| 59 | |
| 56 | |
| 71 |
Jennifer scored 84% on the test meaning she earned 84% of the possible points on the test. There were 140 possible points on the test so she earned 140 x 0.84 = 118 points. Each question is worth 2 points so she got \( \frac{118}{2} \) = 59 questions right.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Charlie buys two shirts, each with a regular price of $26, how much will he pay for both shirts?
| $49.40 | |
| $2.60 | |
| $23.40 | |
| $35.10 |
By buying two shirts, Charlie will save $26 x \( \frac{10}{100} \) = \( \frac{$26 x 10}{100} \) = \( \frac{$260}{100} \) = $2.60 on the second shirt.
So, his total cost will be
$26.00 + ($26.00 - $2.60)
$26.00 + $23.40
$49.40