| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
What is \( \frac{2}{5} \) ÷ \( \frac{4}{8} \)?
| \(\frac{4}{5}\) | |
| \(\frac{8}{45}\) | |
| \(\frac{1}{10}\) | |
| 3\(\frac{1}{5}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{5} \) ÷ \( \frac{4}{8} \) = \( \frac{2}{5} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{5} \) x \( \frac{8}{4} \) = \( \frac{2 x 8}{5 x 4} \) = \( \frac{16}{20} \) = \(\frac{4}{5}\)
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 20 small cakes per hour. The kitchen is available for 3 hours and 39 large cakes and 140 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?
| 15 | |
| 7 | |
| 13 | |
| 10 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 2 x 3 = 6 large cakes during that time. 39 large cakes are needed for the party so \( \frac{39}{6} \) = 6\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 20 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 20 x 3 = 60 small cakes during that time. 140 small cakes are needed for the party so \( \frac{140}{60} \) = 2\(\frac{1}{3}\) 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 7 + 3 = 10 cooks.
How many hours does it take a car to travel 280 miles at an average speed of 40 miles per hour?
| 5 hours | |
| 7 hours | |
| 8 hours | |
| 1 hour |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{280mi}{40mph} \)
7 hours
19 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 4 | |
| 2 | |
| 8 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 19 people needing transportation leaving 19 - 16 = 3 who will have to find other transportation.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 34,000 seats in a stadium are filled, how many home fans are in attendance?
| 30,000 | |
| 35,200 | |
| 25,500 | |
| 23,250 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
34,000 fans x \( \frac{3}{4} \) = \( \frac{102000}{4} \) = 25,500 fans.