Use algebra pieces and mental math to solve the problem.

Question

The sum of three numbers is 43. The first number is 5 more than the second number, and the third number is 8 less than twice the first number. Let one variable piece represent the second number, construct the first and third numbers, and add. Use the algebra pieces and mental arithmetic to find the three numbers.

Answer 1

Teresa,

Let's break this down into smaller parts.
First, you are asked to use a variable to represent the second number. For example, you could use...

• x to represent the first number
• y to represent the second number
• z to represent the third number

 

If the first number is 5 more than the second number,...
x = y + 5

Now, you can give it a try by creating an equation to represent the third number.