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.

The mistake is that from Step 1 to Step 2, Jorge did not add 0.25 correctly to both sides.

Step-by-step explanation:

If Marcel has $8.25 and is only playing $0.25 games, then the equation will be given by:  8.25 - 0.25X.

If Floyd has $9.75 and is only playing $0.75 games, then the equation will be given by:  9.75 - 0.75X.

If we want to find the number of games after which Marcel and Floyd will have the same amount of money remaining, we need to solve the system of equations:

Equation: 8.25 - 0.25X = 9.75 - 0.75X

Step 1: -1.50 - 0.25X = - 0.75X

Step 2: -1.50 = - 0.50X

Step 3: x=3

The mistake is that from Step 1 to Step 2, Jorge did not add 0.25 correctly to both sides.

Option B

From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.

Step-by-step explanation:

To solve this problem, let's consider the initial equation that Jorge had.

Subtract 9.75 on both sides of equality

Add 0.25x on both sides of equality

You can see then that Jorge's error was adding

When this sum is correctly done, the result is

The answer is the option B.