| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 42,000 seats in a stadium are filled, how many home fans are in attendance?
| 30,000 | |
| 31,333 | |
| 35,000 | |
| 33,333 |
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:
42,000 fans x \( \frac{5}{6} \) = \( \frac{210000}{6} \) = 35,000 fans.
In a class of 26 students, 15 are taking German and 7 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 6 | |
| 24 | |
| 22 | |
| 16 |
The number of students taking German or Spanish is 15 + 7 = 22. Of that group of 22, 2 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 - 2 = 20 who are taking at least one language. 26 - 20 = 6 students who are not taking either language.
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 65% of his shots. If the guard takes 10 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?
| 11 | |
| 19 | |
| 13 | |
| 17 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{65}{100} \) = \( \frac{65 x 10}{100} \) = \( \frac{650}{100} \) = 6 shots
The center makes 45% 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 = \( \frac{6}{\frac{45}{100}} \) = 6 x \( \frac{100}{45} \) = \( \frac{6 x 100}{45} \) = \( \frac{600}{45} \) = 13 shots
to make the same number of shots as the guard and thus score the same number of points.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Bob buys two shirts, each with a regular price of $30, how much will he pay for both shirts?
| $37.50 | |
| $45.00 | |
| $39.00 | |
| $58.50 |
By buying two shirts, Bob will save $30 x \( \frac{5}{100} \) = \( \frac{$30 x 5}{100} \) = \( \frac{$150}{100} \) = $1.50 on the second shirt.
So, his total cost will be
$30.00 + ($30.00 - $1.50)
$30.00 + $28.50
$58.50
What is the least common multiple of 9 and 15?
| 118 | |
| 10 | |
| 119 | |
| 45 |
The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 have in common.