Quantity A: .1 * 45 = $4.50

Quantity B: .45 * 10 = $4.50

Therefore the two quantities are equal.  This is always true: a% of $b = b% of $a.

\(\displaystyle a=\frac{x}{100}\cdot 5\Rightarrow a=\frac{x}{20}\Rightarrow x=20a\)

This type of problem is very easy.  You merely need to translate the text into the form of an equation.  For this, remember that "of" is translated as multiplication and "is" as equality.  This gives us the following.

Quantity A:

\(\displaystyle x\) is \(\displaystyle 27\%\) of \(\displaystyle 150\)

Becomes...

\(\displaystyle x = 0.27 \cdot 150=40.5\)

Quantity B:

\(\displaystyle y\) is \(\displaystyle 94\%\) of \(\displaystyle 75\)

Becomes...

\(\displaystyle y = 0.94 \cdot 75 = 70.5\)

Therefore, quantity B is larger.

This type of problem is very easy.  You merely need to translate the text into the form of an equation.  For this, remember that "of" is translated as multiplication and "is" as equality.  This gives us the following.

Quantity A:

\(\displaystyle x\) is \(\displaystyle 91\%\) of \(\displaystyle 228\)

Becomes...

\(\displaystyle x = 0.91 \cdot 228 = 207.48\)

Quantity B:

 \(\displaystyle y\) is \(\displaystyle 95\%\) of \(\displaystyle 220\)

Becomes...

\(\displaystyle y = 0.95 \cdot 220 = 209\)

Therefore, quantity B is larger.

This type of problem is very easy.  You merely need to translate the text into the form of an equation.  For this, remember that "of" is translated as multiplication and "is" as equality.  This gives us the following.

Quantity A:

\(\displaystyle x\) is \(\displaystyle 65\%\) of \(\displaystyle 408\)

Becomes...

\(\displaystyle x = 0.65 \cdot 408 = 265.2\)

Quantity B:

 \(\displaystyle y\) is \(\displaystyle 40\%\) of \(\displaystyle 663\)

Becomes...

\(\displaystyle y = 0.4 \cdot 663 = 265.2\)

Therefore, the two quantities are equal.

To solve this problem we must first find what percent of the money in the bag is in nickels. We know that combined, quarters and  dimes make up 40% of the coins and that the rest are nickels. Therefore 60% of the money in the bag are nickels. We then multiply the total amount of coins in the bag with that percentage in order to find out how many nickels are in the bag.  \(\displaystyle 500*0.6=300\).  There are 300 nickels in the bag and nickels are worth 5 cents each. Therefore \(\displaystyle 300*0.05=15 \textup{ dollars}\) worth of nickels in the bag.

divide: 36/145 = 0.248; multiply by 100 to get percent

24.8%

36 is x% of 133

that means that 36 = (x%)(133)

x% = 36/133 X 100 = 27%

Belinda walks faster than Max, so she should walk over a mile in the same time that Max walks 1 mile. We can eliminate the answer choices that aren't over a mile. It takes Max 3 minutes longer to walk a mile, so Belinda will walk for 3 more minutes after she finishes her first mile. If she walks 1 mile in 12 minutes, she walks 1/12 miles in 1 minute, or 3/12 = 1/4 mile in 3 minutes. So she walks 1 1/4 miles, or 5/4 miles.

Let's first pick numbers.  If y = 25, x = 100.  It's tempting to pick 25% as the answer, but x is greater than y, so the percentage must be greater than 100%.  x is four times y, or 400% of y.