Question

Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge’s work is shown below.
Let x = the number of games played.

Equation: 8.25 minus 0.25 x = 9.75 minus 0.75 x. Step 1: negative 1.50 minus 0.25 x = negative 0.75 x. Step 2: negative 1.50 = 0.50 x. Step 3: negative 3 = x.


Jorge knows his answer is incorrect because it does not make sense to have a negative number of games. What is Jorge’s error?

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

Answer:

  the error is in step 2.

  0.25x was added to -0.75x with an incorrect result of +0.50x.

Step-by-step explanation:

The incorrect step is ...

  Step 2: negative 1.50 = 0.50 x

This is the result of an attempt to add 0.25x to both sides of the equation. The correct step would be ...

  -1.50 -0.25x = -0.75x . . . . . . . result from Step 1

  -1.50 -0.25x +0.25x = -0.75x +0.25x . . . . . add 0.25x to both sides

  -1.50 = -0.50x . . . . . . . . . . . . . the correct result from the addition (Step 2)

__

The correct result is ...

  x = -1.50/-0.50 = 3 . . . . . Step 3