A package of hot dogs cost $2 and a package of hamburger cost $8. You bought a total of 11 packages of meat and you spent $52. How many packages of hotdogs did you buy? Use a system to solve. 6 packages 4 packages 7 packages 5 packages

You bought 6 packages of hot dogs.

To solve this, you have to write and solve a system of equations. Let B stand for hamburgers and H stand for hot dogs.

B + H = 11

8B + 2H = 52 If you multiply the top equation by - 2, you can solve by eliminatoin.

-2B + - 2H = - 22

8B + 2H = 52 Add the equations

6B = 30

B = 5

If you bought 5 packages of hamburgers, then you bought 6 packages of hot doges. 11 - 5 = 6