| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
Solve 5 + (2 + 4) ÷ 2 x 5 - 22
| 16 | |
| \(\frac{2}{3}\) | |
| 3 | |
| \(\frac{5}{8}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (2 + 4) ÷ 2 x 5 - 22
P: 5 + (6) ÷ 2 x 5 - 22
E: 5 + 6 ÷ 2 x 5 - 4
MD: 5 + \( \frac{6}{2} \) x 5 - 4
MD: 5 + \( \frac{30}{2} \) - 4
AS: \( \frac{10}{2} \) + \( \frac{30}{2} \) - 4
AS: \( \frac{40}{2} \) - 4
AS: \( \frac{40 - 8}{2} \)
\( \frac{32}{2} \)
16
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Charlie buys two shirts, each with a regular price of $14, how much will he pay for both shirts?
| $25.90 | |
| $11.90 | |
| $2.10 | |
| $18.90 |
By buying two shirts, Charlie will save $14 x \( \frac{15}{100} \) = \( \frac{$14 x 15}{100} \) = \( \frac{$210}{100} \) = $2.10 on the second shirt.
So, his total cost will be
$14.00 + ($14.00 - $2.10)
$14.00 + $11.90
$25.90
Roger loaned Bob $900 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $40 | |
| $18 | |
| $9 | |
| $84 |
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 $900
i = 0.01 x $900
i = $9
The total water usage for a city is 45,000 gallons each day. Of that total, 16% is for personal use and 30% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,600 | |
| 10,000 | |
| 6,300 | |
| 4,250 |
30% of the water consumption is industrial use and 16% is personal use so (30% - 16%) = 14% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{14}{100} \) x 45,000 gallons = 6,300 gallons.
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 15 small cakes per hour. The kitchen is available for 3 hours and 29 large cakes and 290 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 | |
| 13 | |
| 15 | |
| 12 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 2 x 3 = 6 large cakes during that time. 29 large cakes are needed for the party so \( \frac{29}{6} \) = 4\(\frac{5}{6}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 15 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 15 x 3 = 45 small cakes during that time. 290 small cakes are needed for the party so \( \frac{290}{45} \) = 6\(\frac{4}{9}\) 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 5 + 7 = 12 cooks.