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if 5 pizzas and 6 hotdogs cost $43 and 6 pizzas and 5 hotdogs cost $45 how much will 1 pizza and 1 hotdog cost

User Howserss
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1 Answer

25 votes
25 votes

9514 1404 393

Answer:

  • pizza: $5
  • hot dog: $3

Explanation:

Let p and h represent the prices of 1 pizza and 1 hotdog.

5p +6h = 43

6p +5h = 45

Adding the two equations together, we get ...

11p +11h = 88

p + h = 8 . . . . . . divide by 11

Subtracting 5 times this equation from each of the above, we get ...

(5p +6h) -5(p +h) = (43) -5(8)

h = 3 . . . . cost of a hotdog

and

(6p +5h) -5(p +h) = (45) -5(8)

p = 5 . . . . cost of a pizza

One pizza costs $5; one hotdog costs $3; one pizza and one hotdog costs $8.

User Zugor
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