You spend $40 for 8 hamburgers and 4 hotdogs at a ballgame. The next game you spend $32 for 3 hamburgers and 10 hotdogs. How much does a hamburger cost? How much does a hotdog cost?

Question

Coke Zero

Mathematics

17 July, 15:08

You spend $40 for 8 hamburgers and 4 hotdogs at a ballgame. The next game you spend $32 for 3 hamburgers and 10 hotdogs. How much does a hamburger cost? How much does a hotdog cost?

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Answers (1)

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Burnett · Answer 1

Hamburger = $4, HotDog = $2

Step-by-step explanation:

8*M + 4*D = $40

3*M + 10*D = $32

You can rearrange and substitute variables, but I do like this method: Find a way to subtract one of the variables out:

3 * [8*M + 4*D = $40] = > 24*M + 12*D = 120

8 * [3*M + 10*D = $32] = > 24*M + 80*D = 256

Subtract ... 0 + 68*D = 136

Divide ... D = $2

Now substitute in:

3*M + 10*$2 = $32

3*M + $20 = $32

3*M = $12. So M = $4