Since the mean of the four numbers , , , and  is 125,

Similarly, 

Add the two sums:

The mean of , , , , , and  is , so 

So:

 is the square root of , which in turn can be written as "the sum of a number and five";  can subsequently be written as "the square root of the sum of a number and five". Since ,   is six greater than , the number, so the equation can be stated as "The square root of the sum of a number and five is six greater than the number."

The expression  can be written as "the product of five and a number".

The expression  can be written as " the difference of the number and seven"; the expression  can be written as "three times the difference of the number and seven". 

Therefore, the equation

can be written as 

"The product of five and a number is equal to three times the difference of the number and seven".

If we let  be Yancy's xcore, then, since Zack outscored Yancy by 22, Zack scored . Velma outscored Zack by 12, so Velma scored .

The sum of the four scores is the team score, or 391. Since Wendell scored 98, we can add the four expressions to get 391, then solve for :

Yancy scored 79; Zack scored 22 more than Yancy, or 101; Velma scored 12 more than Zack, or 113. Wendell scored 98, so the correct ordering, greatest to least, is: Velma, Zack, Wendell, Yancy.

Call the fifth number . If the average of the five numbers is , then  is the sum of the numbers divided by five:

Solve for  in the equation:

The fifth number is .

Let  be Bobby's age. Since Geri is five years younger, her age is five years subtracted from Bobby's age, or . 

In ten years, both will have had ten years added to their ages, so Bobby will be  and Geri will be . 

Twice Bobby's age will be , and Geri will be thirty years less than this, or . Set the two expressions for Geri's age in five years equal to each other and solve for .

Distribute:

Collect like terms:

Apply the subtraction property of equality and collect like terms:

Apply the addition property of equality:

Bobby is fifteen years old.

Let  be Eddie's, Freida's, Grant's, Helene's and Ira's scores. Each of the following statements can be translated into inequalities as follows:

 Grant outscored Eddie and Freida: 

Helene outscored Grant: 

Freida ourtscored Ira:

The first and third statements can be combined to form the three-part inequality:

The second, third, and fourth statements can be combined to form the four-part inequality:

Since Helene and Grant were the top two finishers, their scores were counted. However, it cannot be determined which student finished third from these statements. Therefore, insufficient information is given to answer the question.

For this question you can simply add up the points LeBron has scored thus far (191), determine how many points he would need through 8 games to be averaging 30 per game (240) and subtract to get 49.

If that's more adding than you want to do, though, you can also take the total number of points that LeBron is under 30 in each of the games when he failed to reach that mark and add these to get . Then combine this with the total number of points that he is over 30 in the rest of the games  to get a net of . So in his 8th game he will need to score the 30 points, but 19 extra to make up for the deficit: .

The first step is to convert the set  to fractions that have a common denominator of 12. This gives us:

The mean is then calculated by dividing the sum of the numbers in the set by the number of items in the set. 

The sum of the items in the set is: 

There are 4 items in the set, so the sum must be divided by 4 (or multiplied by ). 

This results in:

Write the word problem in terms of a mathematical equation.  Let  be the value of the bronze object.

Solve for .

The value of the bronze object is  units.