| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Charlie buys two shirts, each with a regular price of $35, how much will he pay for both shirts?
| $33.25 | |
| $68.25 | |
| $42.00 | |
| $1.75 |
By buying two shirts, Charlie will save $35 x \( \frac{5}{100} \) = \( \frac{$35 x 5}{100} \) = \( \frac{$175}{100} \) = $1.75 on the second shirt.
So, his total cost will be
$35.00 + ($35.00 - $1.75)
$35.00 + $33.25
$68.25
What is the distance in miles of a trip that takes 5 hours at an average speed of 70 miles per hour?
| 55 miles | |
| 385 miles | |
| 350 miles | |
| 180 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 = \( 70mph \times 5h \)
350 miles
A tiger in a zoo has consumed 90 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 165 pounds?
| 8 | |
| 5 | |
| 6 | |
| 3 |
If the tiger has consumed 90 pounds of food in 6 days that's \( \frac{90}{6} \) = 15 pounds of food per day. The tiger needs to consume 165 - 90 = 75 more pounds of food to reach 165 pounds total. At 15 pounds of food per day that's \( \frac{75}{15} \) = 5 more days.
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 11 small cakes per hour. The kitchen is available for 2 hours and 22 large cakes and 130 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 13 | |
| 11 | |
| 9 | |
| 14 |
If a single cook can bake 4 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 4 x 2 = 8 large cakes during that time. 22 large cakes are needed for the party so \( \frac{22}{8} \) = 2\(\frac{3}{4}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 11 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 11 x 2 = 22 small cakes during that time. 130 small cakes are needed for the party so \( \frac{130}{22} \) = 5\(\frac{10}{11}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 6 = 9 cooks.
Which of the following is a mixed number?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
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.