How to solve arithmetic word problems - SSAT Upper Level Quantitative

First, we need to convert 6 inches into feet.

There are 12 inches in a foot. $\frac{6 inches}{12 inches}$=\frac{1}{2}$.

So 6 inches is equal to $\frac{1}{2}$ feet. Now our ratio is $\frac{1}{2}$ to 12. To find this ratio we divide 12 by $\frac{1}{2}$.

12div $\frac{1}{2}$=12times $\frac{2}{1}$=12times 2=24.

So the ratio is 1:24.

First convert gallons to quarts. There are 4 quarts in a gallon. So 3 gallons is equivalent to 4times 3=12 quarts.

Now we have 12 quarts to 5 quarts. This ratio cannot reduce, so our answer is 12:5.

You first calculate how much he makes for normal hours, which is the number of hours works multiplied by the wage. So for normal hours, . For overtime, it is . Add the amount made in overtime and the normal hours and you get .

If 15% of students ordered fish, then 85% of the students must have ordered chicken. Then multiply 85% or .

Using the conversion formula, you would multiply 5.3 miles by 5280 feet and you will get 27,984 feet.

At 45 mph, Joe drove 60 miles in hours.

At 60 mph, he drove 30 miles in hours.

He made the 90-mile trip in hours, so divide 90 by to get the average speed in mph:

To convert a number to a percent, you just multiply it by . So %.

The three cappuccinos cost:

The two iced teas cost

The two cafe lattes cost

The espresso costs .

Add these amounts to get the cost before tax:

The tax is five percent of or:

Add both values in order to obtain the total cost after tax.

As a result, the change from a twenty-dollar bill is as follows:

First we need to get and 35% in the same terms so that we can subtract one from the other. Since 7ths are repeating decimals, it will be easiest to use fractions.

.

Now we multiply this fraction by 2.8 million, which reduces nicely to , which equals 180,000.

First determine how many boys and girls are currently in the class.

boys in the class, which means that there are 20 girls.

When the 6 students drop the new class size will be 30, which will be made up of girls and boys.

This is a simple problem, so long as you don't forget that Bill and Ted have different amounts of money, so you can't simply average 15% and 25% to get 20%.

Calculate how much each donates:

4000(.15)= 600

8000(.25)= 2000

Now divide the total donation by their total wealth:

Now multiply this answer by 100, and then round to the nearest tenth to get 21.7%.

First, we need to convert 6 inches into feet.

There are 12 inches in a foot. $\frac{6 inches}{12 inches}$=\frac{1}{2}$.

So 6 inches is equal to $\frac{1}{2}$ feet. Now our ratio is $\frac{1}{2}$ to 12. To find this ratio we divide 12 by $\frac{1}{2}$.

12div $\frac{1}{2}$=12times $\frac{2}{1}$=12times 2=24.

So the ratio is 1:24.

First convert gallons to quarts. There are 4 quarts in a gallon. So 3 gallons is equivalent to 4times 3=12 quarts.

Now we have 12 quarts to 5 quarts. This ratio cannot reduce, so our answer is 12:5.

You first calculate how much he makes for normal hours, which is the number of hours works multiplied by the wage. So for normal hours, . For overtime, it is . Add the amount made in overtime and the normal hours and you get .

If 15% of students ordered fish, then 85% of the students must have ordered chicken. Then multiply 85% or .

Using the conversion formula, you would multiply 5.3 miles by 5280 feet and you will get 27,984 feet.

At 45 mph, Joe drove 60 miles in hours.

At 60 mph, he drove 30 miles in hours.

He made the 90-mile trip in hours, so divide 90 by to get the average speed in mph:

To convert a number to a percent, you just multiply it by . So %.