| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Bob buys two shirts, each with a regular price of $21, how much will he pay for both shirts?
| $32.55 | |
| $11.55 | |
| $24.15 | |
| $23.10 |
By buying two shirts, Bob will save $21 x \( \frac{45}{100} \) = \( \frac{$21 x 45}{100} \) = \( \frac{$945}{100} \) = $9.45 on the second shirt.
So, his total cost will be
$21.00 + ($21.00 - $9.45)
$21.00 + $11.55
$32.55
If all of a roofing company's 12 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?
| 3 | |
| 17 | |
| 12 | |
| 16 |
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 12 workers at the company now and that's enough to staff 3 crews so there are \( \frac{12}{3} \) = 4 workers on a crew. 6 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 6 x 4 = 24 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 24 - 12 = 12 new staff for the busy season.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?
| 3:6 | |
| 3:2 | |
| 5:2 | |
| 81:2 |
The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.
Which of the following is not an integer?
\({1 \over 2}\) |
|
0 |
|
-1 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
In a class of 33 students, 11 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?
| 22 | |
| 11 | |
| 15 | |
| 24 |
The number of students taking German or Spanish is 11 + 12 = 23. Of that group of 23, 5 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 23 - 5 = 18 who are taking at least one language. 33 - 18 = 15 students who are not taking either language.