| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?
| 9:2 | |
| 5:6 | |
| 49:2 | |
| 3:1 |
The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. 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 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
absolute value |
|
least common multiple |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
8 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 2 | |
| 9 | |
| 8 |
There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 8 people needing transportation leaving 8 - 6 = 2 who will have to find other transportation.
In a class of 26 students, 14 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 25 | |
| 11 | |
| 15 | |
| 16 |
The number of students taking German or Spanish is 14 + 8 = 22. Of that group of 22, 7 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 - 7 = 15 who are taking at least one language. 26 - 15 = 11 students who are not taking either language.
Find the average of the following numbers: 16, 10, 17, 9.
| 16 | |
| 13 | |
| 8 | |
| 10 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 10 + 17 + 9}{4} \) = \( \frac{52}{4} \) = 13