Q:

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.Jorge knows his answer is incorrect because it does not make sense to have a negative number of games. What is Jorge’s error?A. The variable x should represent the amount of money left.B. From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.C. The equation should have sums on both sides.D. From Step 2 to Step 3, Jorge should have subtracted 0.50x from both sides.

Accepted Solution

A:
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 xThis 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