| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Roger buys two shirts, each with a regular price of $10, how much will he pay for both shirts?
| $13.50 | |
| $18.00 | |
| $11.50 | |
| $8.00 |
By buying two shirts, Roger will save $10 x \( \frac{20}{100} \) = \( \frac{$10 x 20}{100} \) = \( \frac{$200}{100} \) = $2.00 on the second shirt.
So, his total cost will be
$10.00 + ($10.00 - $2.00)
$10.00 + $8.00
$18.00
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
absolute value |
|
greatest common factor |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
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?
| 5:4 | |
| 81:2 | |
| 5:8 | |
| 3:8 |
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.
In a class of 30 students, 9 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 16 | |
| 28 | |
| 17 |
The number of students taking German or Spanish is 9 + 13 = 22. Of that group of 22, 3 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 - 3 = 19 who are taking at least one language. 30 - 19 = 11 students who are not taking either language.
15 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 9 | |
| 36 | |
| 4 |
There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 15 people needing transportation leaving 15 - 12 = 3 who will have to find other transportation.