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 p
laying $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?
The variable x should represent the amount of money left.
From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.
The equation should have sums on both sides.
From Step 2 to Step 3, Jorge should have subtracted 0.50x from both sides.
From the given, we expressed the time that each of the team members ran in mathematical expression.
Reggie = 57.12 seconds Alvin = 57.12 + 2.45 seconds = 59.57 seconds Jose = 57.12 - 3.81 seconds = 53.31 seconds We then sum up all the time we calculate to determine the total time for the team. The answer is therefore 170 seconds.
