| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 35% of his shots. If the guard takes 20 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 | |
| 28 | |
| 21 | |
| 23 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{35}{100} \) = \( \frac{35 x 20}{100} \) = \( \frac{700}{100} \) = 7 shots
The center makes 25% 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 = \( \frac{7}{\frac{25}{100}} \) = 7 x \( \frac{100}{25} \) = \( \frac{7 x 100}{25} \) = \( \frac{700}{25} \) = 28 shots
to make the same number of shots as the guard and thus score the same number of points.
How many hours does it take a car to travel 105 miles at an average speed of 35 miles per hour?
| 5 hours | |
| 2 hours | |
| 3 hours | |
| 7 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{105mi}{35mph} \)
3 hours
Find the average of the following numbers: 15, 13, 15, 13.
| 14 | |
| 12 | |
| 10 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{15 + 13 + 15 + 13}{4} \) = \( \frac{56}{4} \) = 14
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Monty buys two shirts, each with a regular price of $24, how much money will he save?
| $8.40 | |
| $12.00 | |
| $4.80 | |
| $3.60 |
By buying two shirts, Monty will save $24 x \( \frac{15}{100} \) = \( \frac{$24 x 15}{100} \) = \( \frac{$360}{100} \) = $3.60 on the second shirt.
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?
| 8 | |
| 16 | |
| 4 | |
| 15 |
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.