| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
A tiger in a zoo has consumed 84 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 168 pounds?
| 7 | |
| 6 | |
| 11 | |
| 10 |
If the tiger has consumed 84 pounds of food in 7 days that's \( \frac{84}{7} \) = 12 pounds of food per day. The tiger needs to consume 168 - 84 = 84 more pounds of food to reach 168 pounds total. At 12 pounds of food per day that's \( \frac{84}{12} \) = 7 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 5 parts per hour. Yesterday the machine was shut down for 6 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 88.2 | |
| 211.2 | |
| 89.3 | |
| 145.6 |
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 5 = \( \frac{2 \times 5}{100} \) = \( \frac{10}{100} \) = 0.1 errors per hour
So, in an average hour, the machine will produce 5 - 0.1 = 4.9 error free parts.
The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 4.9 = 88.2 error free parts were produced yesterday.
The total water usage for a city is 10,000 gallons each day. Of that total, 33% is for personal use and 62% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 6,000 | |
| 7,350 | |
| 11,200 | |
| 2,900 |
62% of the water consumption is industrial use and 33% is personal use so (62% - 33%) = 29% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{29}{100} \) x 10,000 gallons = 2,900 gallons.
How many 14-passenger vans will it take to drive all 57 members of the football team to an away game?
| 6 vans | |
| 10 vans | |
| 5 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{57}{14} \) = 4\(\frac{1}{14}\)
So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.
Roger loaned Bob $100 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $6 | |
| $84 | |
| $40 | |
| $21 |
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 $100
i = 0.06 x $100
i = $6