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

Respuesta :

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