| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Alex buys two shirts, each with a regular price of $10, how much will he pay for both shirts?
| $14.50 | |
| $18.50 | |
| $8.50 | |
| $11.50 |
By buying two shirts, Alex will save $10 x \( \frac{15}{100} \) = \( \frac{$10 x 15}{100} \) = \( \frac{$150}{100} \) = $1.50 on the second shirt.
So, his total cost will be
$10.00 + ($10.00 - $1.50)
$10.00 + $8.50
$18.50
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Roger buys two shirts, each with a regular price of $11, how much money will he save?
| $0.55 | |
| $5.50 | |
| $4.40 | |
| $1.65 |
By buying two shirts, Roger will save $11 x \( \frac{50}{100} \) = \( \frac{$11 x 50}{100} \) = \( \frac{$550}{100} \) = $5.50 on the second shirt.
Which of the following is not an integer?
\({1 \over 2}\) |
|
1 |
|
0 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 70% 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?
| 13 | |
| 14 | |
| 17 | |
| 21 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{70}{100} \) = \( \frac{70 x 10}{100} \) = \( \frac{700}{100} \) = 7 shots
The center makes 50% 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 = \( \frac{7}{\frac{50}{100}} \) = 7 x \( \frac{100}{50} \) = \( \frac{7 x 100}{50} \) = \( \frac{700}{50} \) = 14 shots
to make the same number of shots as the guard and thus score the same number of points.
What is \( \frac{3}{8} \) + \( \frac{3}{10} \)?
| \( \frac{7}{10} \) | |
| 1 \( \frac{9}{17} \) | |
| \(\frac{27}{40}\) | |
| 1 \( \frac{4}{40} \) |
To add 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:
\( \frac{3 x 5}{8 x 5} \) + \( \frac{3 x 4}{10 x 4} \)
\( \frac{15}{40} \) + \( \frac{12}{40} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{15 + 12}{40} \) = \( \frac{27}{40} \) = \(\frac{27}{40}\)