Ms. Jones is buying raisins and peanuts. She needs 8 pounds total, and she wants to have 1.5 more pounds of peanuts than raisins. The solution to the equation below shows how she can determine the solution for n, the number of pounds of peanuts she should buy.

Question

What explanations can be made for each of the three steps in the procedure?

Drag and drop the correct explanation next to each step.

Given: n+(n−1.5)=8

Step 1: 2n−1.5=8
Rational:Response area

Step 2: 2n=9.5
Rational:Response area

Step 3: n=4.75
Rational:Response area
multiplication property of equality
divisibility property of equality
addition property of equality
subtraction property of equality
combine like terms

Answer 1

Here are the correct explanations for each step in the procedure:

Step 1: 2n - 1.5 = 8
Rational: combine like terms

Step 2: 2n = 9.5
Rational: addition property of equality

Step 3: n = 4.75
Rational: multiplication property of equality

So you would drag and drop the explanations as follows:

• Step 1: combine like terms
• Step 2: addition property of equality
• Step 3: multiplication property of equality