| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 35,000 seats in a stadium are filled, how many home fans are in attendance?
| 30,000 | |
| 31,667 | |
| 34,400 | |
| 29,167 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
35,000 fans x \( \frac{5}{6} \) = \( \frac{175000}{6} \) = 29,167 fans.
Bob loaned Bob $400 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $12 | |
| $24 | |
| $84 | |
| $42 |
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 $400
i = 0.03 x $400
i = $12
A tiger in a zoo has consumed 72 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 120 pounds?
| 8 | |
| 4 | |
| 1 | |
| 9 |
If the tiger has consumed 72 pounds of food in 6 days that's \( \frac{72}{6} \) = 12 pounds of food per day. The tiger needs to consume 120 - 72 = 48 more pounds of food to reach 120 pounds total. At 12 pounds of food per day that's \( \frac{48}{12} \) = 4 more days.
A machine in a factory has an error rate of 2 parts per 100. The machine normally runs 24 hours a day and produces 10 parts per hour. Yesterday the machine was shut down for 4 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 196 | |
| 115.9 | |
| 159.8 | |
| 102.6 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{2}{100} \) x 10 = \( \frac{2 \times 10}{100} \) = \( \frac{20}{100} \) = 0.2 errors per hour
So, in an average hour, the machine will produce 10 - 0.2 = 9.8 error free parts.
The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 9.8 = 196 error free parts were produced yesterday.
Solve 3 + (3 + 4) ÷ 4 x 4 - 22
| 6 | |
| 1\(\frac{2}{7}\) | |
| \(\frac{4}{5}\) | |
| 1 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (3 + 4) ÷ 4 x 4 - 22
P: 3 + (7) ÷ 4 x 4 - 22
E: 3 + 7 ÷ 4 x 4 - 4
MD: 3 + \( \frac{7}{4} \) x 4 - 4
MD: 3 + \( \frac{28}{4} \) - 4
AS: \( \frac{12}{4} \) + \( \frac{28}{4} \) - 4
AS: \( \frac{40}{4} \) - 4
AS: \( \frac{40 - 16}{4} \)
\( \frac{24}{4} \)
6