If Anita bought a pair of boots for  that was on sale for  off, this means she would get  off. But if she was taxed at  on the full price, this would be equal to . 

Therefore, the total she would have to pay would be equal to , because .

If Arnold made  tutoring, that means that he gave  tutoring sessions because  divided by  (his rate per tutoring session) is equal to . 

Given that Arnold must spend half an hour preparing for each session, the total number of hours it took him to earn  is equal to:

If Joe has one third of his assignment to complete after finishing  problems, that means that  is equal to two-thirds of the entire set. Knowing this, we can write out the equation  and solve for  in order to find how many problems make up Joe's homework assignment.

We can solve this equation by cross-multiplying to get , which simplifies to .

To find , we can divide each side of the equation by . This gives us , so there are  problems in Joe's homework assignment.

Given that there are 3 birds in the tree who are then joined by their mates, there are 6 total birds in the tree. If two-thirds of the birds fly away, 4 birds leave, and 2 birds are left in the nest

To find out how many students are in the class, we first need to find the number of girls in the class. For every  boys, there will be  girl. There are  groups of  in a group of  (or, put another way, ), so the class has  groups of  boys. That means we also have  groups of  girl.  is , so altogether we have  boys and  girls. , so the correct answer is .

If each slice of pie weighs 1.5 ounces and there are 8 slices total, then the total weight of the pie can be found by multiplying 8 by 1.5.

12 ounces is the weight of the entire pie. 

If your amount is  of the whole, then the whole is  times the amount you have.  

If you have , then your answer is 

 cards.

To calculate how many guests are in the theater we need to create an equation that represents what type of guests are in the theater. In this particular case the theater is filled with children and adults thus our equation would become,

The initial question gives some more information.

"If you walk into a theater an see 50 children and three times as many adults, how many guests are there?"

If there are three times as many adults as children then there are  adults.  

That means in total there are,

Begin with the amount of pizza that Jamie eats. Because there are 12 slices in a whole pizza, Jamie eats 3 slices, or 1/4 of the entire pizza. 

1/4 of 12 slices =

1/4 x 12 =

3 slices

If Austin eats twice as much as Jamie, that means that he eats

3 x 2 

6 slices

To find how many slices are remaining,

we would subtract 3 and 6 from 12.

12 – 3 – 6 = 3

3 pizza slices are remaining.

To find the amount of money that is discounted from the sweater,

we would multiply 30% with $20.

30% written in decimal form is 0.30.

So, in order to find how much we will save, we must multiply the following:

0.30 x $20 =

$6.

If we are saving $6 from the regular-priced sweater, that means that the discounted price of the sweater is

$20 – $6 =

$14.