| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Ezra buys two shirts, each with a regular price of $49, how much money will he save?
| $24.50 | |
| $2.45 | |
| $7.35 | |
| $22.05 |
By buying two shirts, Ezra will save $49 x \( \frac{50}{100} \) = \( \frac{$49 x 50}{100} \) = \( \frac{$2450}{100} \) = $24.50 on the second shirt.
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 17 small cakes per hour. The kitchen is available for 4 hours and 26 large cakes and 420 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?
| 14 | |
| 10 | |
| 11 | |
| 8 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 26 large cakes are needed for the party so \( \frac{26}{12} \) = 2\(\frac{1}{6}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 17 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 17 x 4 = 68 small cakes during that time. 420 small cakes are needed for the party so \( \frac{420}{68} \) = 6\(\frac{3}{17}\) 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 3 + 7 = 10 cooks.
How many 14-passenger vans will it take to drive all 95 members of the football team to an away game?
| 8 vans | |
| 3 vans | |
| 7 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 = \( \frac{95}{14} \) = 6\(\frac{11}{14}\)
So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.
Simplify \( \frac{24}{44} \).
| \( \frac{7}{16} \) | |
| \( \frac{6}{11} \) | |
| \( \frac{4}{7} \) | |
| \( \frac{2}{9} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{24}{44} \) = \( \frac{\frac{24}{4}}{\frac{44}{4}} \) = \( \frac{6}{11} \)
Simplify \( \sqrt{45} \)
| 7\( \sqrt{5} \) | |
| 3\( \sqrt{10} \) | |
| 2\( \sqrt{10} \) | |
| 3\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{45} \)
\( \sqrt{9 \times 5} \)
\( \sqrt{3^2 \times 5} \)
3\( \sqrt{5} \)