6-70 To solve the following problem, use the 5-D Process. Define a variable and write an expression for each column of your table. In the first three football games of the season, Carlos gained three times as many yards as Alston. Travis gained ten yards more than Carlos. Altogether, the three players gained a total of 430 yards. How many yards did Carlos gain?Homework Help

To solve this problem, we will use the 5-D Process, which involves defining a variable, writing an expression for each column of the table, and then solving the problem.<br /><br />Step 1: Define a variable<br />Let's define a variable to represent the number of yards Carlos gained in the first three football games of the season. Let's call this variable "C".<br /><br />Step 2: Write an expression for each column of the table<br />Based on the information given in the problem, we can write the following expressions for each column of the table:<br /><br />Alston's yards: A<br />Carlos's yards: C = 3A<br />Travis's yards: T = C + 10<br /><br />Step 3: Solve the problem<br />We are given that the total number of yards gained by the three players is 430. So, we can write the equation:<br /><br />A + C + T = 430<br /><br />Substituting the expressions we wrote in Step 2, we get:<br /><br />A + 3A + (3A + 10) = 430<br /><br />Combining like terms, we have:<br /><br />7A + 10 = 430<br /><br />Subtracting 10 from both sides, we get:<br /><br />7A = 420<br /><br />Dividing both sides by 7, we find:<br /><br />A = 60<br /><br />Now that we have the value of A, we can find the value of C:<br /><br />C = 3A = 3(60) = 180<br /><br />Therefore, Carlos gained 180 yards in the first three football games of the season.