Solve the Problem Using Two Linear Equations in Two Variables

Multiple Choice

Solve the problem using two linear equations in two variables and Cramer's rule.
-Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 750 gal of gasohol containing 10% alcohol? (Round to the nearest whole gallon.)

A) 536 gal 5%, 536 gal 12%
B) 214 gal 5%, 536 gal 12%
C) 313 gal 5%, 438 gal 12%
D) 38 gal 5%, 90 gal 12%