| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 9:4 | |
| 1:4 | |
| 7:8 | |
| 9:2 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. 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 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Frank buys two shirts, each with a regular price of $48, how much money will he save?
| $16.80 | |
| $4.80 | |
| $19.20 | |
| $2.40 |
By buying two shirts, Frank will save $48 x \( \frac{35}{100} \) = \( \frac{$48 x 35}{100} \) = \( \frac{$1680}{100} \) = $16.80 on the second shirt.
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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integer |
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improper fraction |
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fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
How many 15-passenger vans will it take to drive all 92 members of the football team to an away game?
| 10 vans | |
| 13 vans | |
| 6 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{92}{15} \) = 6\(\frac{2}{15}\)
So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.
| 1 | |
| 0.9 | |
| 3.2 | |
| 1.8 |
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