| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
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?
| 7:8 | |
| 9:1 | |
| 9:2 | |
| 28 |
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 Damon buys two shirts, each with a regular price of $33, how much will he pay for both shirts?
| $46.20 | |
| $11.55 | |
| $37.95 | |
| $54.45 |
By buying two shirts, Damon will save $33 x \( \frac{35}{100} \) = \( \frac{$33 x 35}{100} \) = \( \frac{$1155}{100} \) = $11.55 on the second shirt.
So, his total cost will be
$33.00 + ($33.00 - $11.55)
$33.00 + $21.45
$54.45
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is the distance in miles of a trip that takes 2 hours at an average speed of 35 miles per hour?
| 105 miles | |
| 50 miles | |
| 140 miles | |
| 70 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 35mph \times 2h \)
70 miles
Charlie loaned Bob $1,400 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $117 | |
| $28 | |
| $33 | |
| $54 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,400
i = 0.02 x $1,400
i = $28