Question

During the 2010 season, football player McGee’s earnings, m, were

0.005 million dollars more than those of his teammate Fitzpatrick’s
earnings, f. The two players earned a total of 3.95 million dollars.
Which system of equations could be used to determine the amount
each player earned, in millions of dollars?
(1) m + f = 3.95 (3) f - 3.95 = m
m + 0.005 = f m + 0.005 = f
(2) m - 3.95 = f (4) m + f = 3.95
f + 0.005 = m f + 0.005 = m

Answer 1

The correct system of equations to determine the football players' earnings is: m = f + 0.005 and m + f = 3.95, which is option (1) from the presented choices.

Step-by-step explanation:

The question revolves around finding a system of equations to determine the earnings of two football players, McGee and Fitzpatrick. According to the given information, McGee's earnings, m, were 0.005 million dollars more than Fitzpatrick’s earnings, f. It's also stated that together they earned a total of 3.95 million dollars. With this information, we have two equations representing the situation:

1. McGee's earnings are 0.005 million more than Fitzpatrick's: m = f + 0.005.
2. The total earnings of both players come to 3.95 million: m + f = 3.95.

These equations correspond to the system of equations found in option (1).

Answer 2

Fitzpatrick's earnings = f
McGee's earnings = f + 0.005

Fitzpatrick + McGee = 3.95 million
f + m = 3.95
f + (f + 0.005) = 3.95
2f = 3.95 - 0.005
2f = 3.945
2f / 2 = 3.945/2
f = 1.9725 million dollars

McGee's earnings = f + 0.005 = 1.9725 + 0.005 = 1.9775 million dollars

To check:

f + m = 3.95
1.9725 + 1.9775 = 3.95
3.95 = 3.95