Question

You are buying meat for a cookout. You need to buy 8 packages of meat. A package of hot dogs cost $1.60 and a package of hamburger costs $5. You spend a total of $23. Find the number of packages of each type of meat bought, using systems of equation.

Answer 1

This is the work. Hope it helps!!!!

Answer 2

Let the number of packages of hot dogs be D, and the number of packages of hamburgers be H. We can set up the equations:
1.60D + 5H = 23
D + H = 8 ---> which we can subtract D on both sides and get: H = 8 - D
1.6D + 40 - 5D = 23, -3.4D = -17, D = 5. The number of packages of hot dogs we buy are 5.
Now, we plug that into D + H = 8, and get 5 + H = 8. Subtracting by 5 on both sides of the equation, we get H = 3. So the number of packages of hamburgers we buy are 3.
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Hope this helps!