How much is the cost of one apple pie and one blackberry pie.

Question

10A+4B=170

2A+5B=97

A= Apple pies

B= Blackberry pies

Answer 1

You can solve these two equations with two unknowns using elimination.

10A+4B=170

2A+5B=97

Multiply the second equation by -5 and solve for B:

10A + 4B = 170

-10A - 25B = -485

-21B = -315

B = 15

A blackberry pie will cost $15.

Then substitute 15 for B in either equation and solve for A. Let's use the first equation:

10A + 4B = 170

10A + 4* 15 = 170

10A + 60 = 170

10A + 60 -60 = 170 - 60

10A = 110

A = 11

The cost of an apple pie will be $11.