| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 18 small cakes per hour. The kitchen is available for 4 hours and 26 large cakes and 370 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?
| 8 | |
| 13 | |
| 6 | |
| 5 |
If a single cook can bake 4 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 4 x 4 = 16 large cakes during that time. 26 large cakes are needed for the party so \( \frac{26}{16} \) = 1\(\frac{5}{8}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 18 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 18 x 4 = 72 small cakes during that time. 370 small cakes are needed for the party so \( \frac{370}{72} \) = 5\(\frac{5}{36}\) 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 2 + 6 = 8 cooks.
If there were a total of 300 raffle tickets sold and you bought 12 tickets, what's the probability that you'll win the raffle?
| 13% | |
| 4% | |
| 15% | |
| 5% |
You have 12 out of the total of 300 raffle tickets sold so you have a (\( \frac{12}{300} \)) x 100 = \( \frac{12 \times 100}{300} \) = \( \frac{1200}{300} \) = 4% chance to win the raffle.
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?
| 9:4 | |
| 7:2 | |
| 49:2 | |
| 5:8 |
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.
What is the distance in miles of a trip that takes 1 hour at an average speed of 60 miles per hour?
| 40 miles | |
| 600 miles | |
| 15 miles | |
| 60 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 = \( 60mph \times 1h \)
60 miles
If a mayor is elected with 90% of the votes cast and 84% of a town's 38,000 voters cast a vote, how many votes did the mayor receive?
| 28,728 | |
| 16,279 | |
| 25,536 | |
| 28,090 |
If 84% of the town's 38,000 voters cast ballots the number of votes cast is:
(\( \frac{84}{100} \)) x 38,000 = \( \frac{3,192,000}{100} \) = 31,920
The mayor got 90% of the votes cast which is:
(\( \frac{90}{100} \)) x 31,920 = \( \frac{2,872,800}{100} \) = 28,728 votes.