Question

The table shows the American League batting champions for the years 1999–2003. The sum of these five batting averages is 1.754. Write and solve an equation to determine the batting average x for Bill Mueller, the 2003 batting champion.
1999 Nomar Garciaparra Boston
.357
2000 Nomar Garciaparra Boston
.372
2001 Ichiro Suzuki Seattle
.350
2002 Manny Ramirez Boston
.349
2003 Bill Mueller Boston
x
A. .357 + .372 + .350 + .349 + x = 1.754; .326
B. .357 + .372 + .350 + .349 + x = 1.754; .316
C. x + 1.754 = .357 + .372 + .350 + .349; .326
D. 1.718 – x = .357

Answer 1

The answer is A. .357 + .372 + .350 + .349 + x = 1.754; .326 

x1 - average of 1999 Nomar Garciaparra Boston
x2 - average of 2000 Nomar Garciaparra Boston
x3 - average of 2001 Ichiro Suzuki Seattle 
x4 - average of Manny Ramirez Boston  
x - average of 2003 Bill Mueller Boston 

The sum of these five batting averages is 1.754:
x1 + x2 + x3 + x4 + x = 1.754

From the table:
x1 = 0.357
x2 = 0.372
x3 = 0.350
x4 = 0.349
x = ?

0.357 + 0.372 + 0.350 + 0.349 + x = 1.754

1.428 + x = 1.754
x = 1.754 - 1.428
x = 0.326