The tab can be rounded to $\displaystyle \$80$.  is equal to $\displaystyle 0.20$.

$\displaystyle =\frac{20}{100}=0.20$

Now we can multiply the percent by the total amount.

$\displaystyle 0.20 * 80 = 16$

$\displaystyle \$16$ is the most reasonable estimate of the recommended tip.

If $\displaystyle 50,467$ is rounded to the nearest hundredth, the result will be $\displaystyle 50,500$. 

Given that $\displaystyle 505\cdot100=50,500$, the correct answer is $\displaystyle 505\cdot100$

437 rounded to the nearest hundred is 400.

877 rounded to the nearest hundred is 900.

551 rounded to the nearest hundred is 600.

Multiply the three whole multiples of 100 to get the desired estimate:

$\displaystyle 437 \times 877 \times 551 \approx 400 \times 900 \times 600 = 216,000,000$

$\displaystyle 5 \frac{3}{7} < 5\frac{1}{2}$, so $\displaystyle 5 \frac{3}{7}$  rounded to the nearest unit is 5.

$\displaystyle 9\frac{3}{5} \geq 9\frac{1}{2}$, so $\displaystyle 9\frac{3}{5}$  rounded to the nearest unit is 10.

$\displaystyle 4\frac{4}{5} \geq 4\frac{1}{2}$, so $\displaystyle 4\frac{4}{5}$  rounded to the nearest unit is 5.

Multiply the three whole numbers to get the desired estimate:

$\displaystyle 5 \frac{3}{7}\times 9\frac{3}{5} \times 4\frac{4}{5} \approx 5 \times 10 \times 5 = 250$

8.19 rounded to the nearest unit is 8.

4.87 rounded to the nearest unit is 5

3.27 rounded to the nearest unit is 3.

7.42 rounded to the nearest unit is 7.

The desired estimate can be found as follows:

$\displaystyle 8.19 \times 4.87 + 3.27 \times 7.42$

$\displaystyle \approx 8 \times 5 + 3 \times 7$

$\displaystyle =40 + 3 \times 7$

$\displaystyle =40 + 21 = 61$

$\displaystyle 8 \frac{2}{7} < 8\frac{1}{2}$, so $\displaystyle 8 \frac{2}{7}$ rounded to the nearest unit is 8.

$\displaystyle 9\frac{4}{5} \ge 9\frac{1}{2}$, so $\displaystyle 9\frac{4}{5}$ rounded to the nearest unit is 10.

$\displaystyle 3\frac{4}{5} \ge 3\frac{1}{2}$, so $\displaystyle 3\frac{4}{5}$ rounded to the nearest unit is 4.

$\displaystyle 6\frac{2}{5} < 6\frac{1}{2}$, so $\displaystyle 6\frac{2}{5}$ rounded to the nearest unit is 6.

The desired estimate can be found as follows:

$\displaystyle 8 \frac{2}{7}\times 9\frac{4}{5}+ 3\frac{4}{5} \times 6\frac{2}{5}$

$\displaystyle \approx 8 \times 10 + 4 \times 6$

$\displaystyle = 80 + 4 \times 6$

$\displaystyle = 80 + 24 = 104$

Round each of the amounts to the nearest ten dollars as follows:

$187.54 rounds to $190.

$218.89 rounds to $220.

$174.74 rounds to $170.

$104.76 rounds to $100.

$189.75 rounds to $190.

$228.64 rounds to $230.

Add the rounded figures:

$\displaystyle 190+220+170+100+190+230 = 1,100$

8.39 rounded to the nearest unit is 8 because 0.39 is less than 0.5.

7.34 rounded to the nearest unit is 7 because 0.34 is less than 0.5.

3.52 rounded to the nearest unit is 4 because 0.52 is greater than 0.5.

Multiply the three whole numbers to get the desired estimate:

$\displaystyle 8.39 \times 7.34 \times 3.52 \approx 8 \times 7 \times 4 = 56 \times 4 = 224$

First, add up the total number of ducks, geese, and chickens.

$\displaystyle 15+12+20=47$

Now, write the fraction of these animals that are geese and the fraction of these animals that are chickens.

$\displaystyle \text{Geese}=\frac{15}{47}$

$\displaystyle \text{Chickens}=\frac{20}{47}$

Now, since we want the ratio of geese to chickens, we write the fractions as thus:

$\displaystyle \frac{\text{Geese}}{\text{Chickens}}=\frac{\frac{15}{47}}{\frac{20}{47}}$

Divide and simplify the resulting fraction to find the ratio.

$\displaystyle \frac{\frac{15}{47}}{\frac{20}{47}}=\frac{15}{47}\div\frac{20}{47}=\frac{15}{47}\times\frac{47}{20}=\frac{15}{1}\times\frac{1}{20}=\frac{15}{20}=\frac{3}{4}=3:4$

There is more than one way to solve this problem. You can either figure out how much the chicken costs per pound and multiply that cost by three pounds, or you can set up a proportion and solve for the cost of three pounds of chicken that way.

1) Solving the Problem Using Cost per Pound

First, find how much the chicken costs per pound.

$\displaystyle \frac{33.75}{15}=2.25$

Since chicken costs $\displaystyle \$2.25$ per pound, multiply this by the number of pounds we need to get the cost.

$\displaystyle \$2.25\times3=\$6.75$

$\displaystyle 3$ pounds of chicken cost $\displaystyle \$6.75$.

2) Solving the Problem Using a Proportion

You can set up a proportion to figure out how much $\displaystyle 3$ pounds of chicken costs:

$\displaystyle \frac{3\:lbs}{15\:lbs}=\frac{x}{\$33.75}$

Cross multiply:

$\displaystyle 3\cdot 33.75=15x$

Solve for $\displaystyle x$, the cost of $\displaystyle 3$ pounds of chicken:

$\displaystyle 101.25=15x$

$\displaystyle \frac{101.25}{15}=x$

$\displaystyle x=6.75$