| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
A tiger in a zoo has consumed 121 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 165 pounds?
| 15 | |
| 9 | |
| 4 | |
| 10 |
If the tiger has consumed 121 pounds of food in 11 days that's \( \frac{121}{11} \) = 11 pounds of food per day. The tiger needs to consume 165 - 121 = 44 more pounds of food to reach 165 pounds total. At 11 pounds of food per day that's \( \frac{44}{11} \) = 4 more days.
If all of a roofing company's 20 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 8 | |
| 10 | |
| 17 | |
| 11 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 20 workers at the company now and that's enough to staff 5 crews so there are \( \frac{20}{5} \) = 4 workers on a crew. 7 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 7 x 4 = 28 total workers to staff the crews during the busy season. The company already employs 20 workers so they need to add 28 - 20 = 8 new staff for the busy season.
A machine in a factory has an error rate of 6 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday the machine was shut down for 7 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 117.6 | |
| 122.8 | |
| 127.8 | |
| 82.8 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{6}{100} \) x 8 = \( \frac{6 \times 8}{100} \) = \( \frac{48}{100} \) = 0.48 errors per hour
So, in an average hour, the machine will produce 8 - 0.48 = 7.52 error free parts.
The machine ran for 24 - 7 = 17 hours yesterday so you would expect that 17 x 7.52 = 127.8 error free parts were produced yesterday.
A bread recipe calls for 2\(\frac{7}{8}\) cups of flour. If you only have \(\frac{1}{4}\) cup, how much more flour is needed?
| 2\(\frac{5}{8}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2 cups | |
| \(\frac{3}{8}\) cups |
The amount of flour you need is (2\(\frac{7}{8}\) - \(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{23}{8} \) - \( \frac{2}{8} \)) cups
\( \frac{21}{8} \) cups
2\(\frac{5}{8}\) cups
Ezra loaned Latoya $1,000 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,010 | |
| $1,060 | |
| $1,030 | |
| $1,080 |
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 $1,000
i = 0.01 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $10