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. what explanations can be made for each of the three steps in the procedure? drag and drop the correct explanation next to each step.

Question

Given n + (n - 1.5) = 8
Step 1: 2n - 1.5 = 8 Rational:
Step 2: 2n = 9.5 Rational:
Step 3: n = 4.75 Rational:
multiplication property of equality
addition property of equality subtraction property of equality
division property of equality
combine like terms

Answer 1

Here are the explanations for each step in the procedure regarding Ms. Jones' problem:

Step 1: \(2n - 1.5 = 8\)
Rational: addition property of equality (We add 1.5 to both sides of the equation to isolate the terms containing \(n\)).

Step 2: \(2n = 9.5\)
Rational: addition property of equality (We add 1.5 to both sides to combine and simplify).

Step 3: \(n = 4.75\)
Rational: division property of equality (We divide both sides by 2 to solve for \(n\)).

So the correct explanations will be as follows:

• Step 1: addition property of equality
• Step 2: addition property of equality
• Step 3: division property of equality