a baker buys 11 lb of wheat flour and 15 lb of rye flour for a total cost of $ 18.65

Question

then buys 15 lb of wheat flour and 13 lb of rye flour for a total of 19.99 find the cost of the wheat and rye

Answer 1

11W + 15R = 18.65

15W + 13R = 19.99

Eliminate one variable

multiply 1st by 15 and 2nd by 11

then subtract

165W + 225R = 18,.65(15)

165W +143R = 19.99(11)

82R = 18,65(15) - 19.99(11)

R = [18.65(15) - 19.99(11)]/82 = cost of rye

substitute that value into either of the two original equations to solve for W, the cost of wheat