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ElenaW [278]
3 years ago
7

Bob took his family out to lunch. He bought 3 hot dogs and 2 hamburgers for $11. If the guy in front of him bought 2 hot dogs an

d 4 hamburgers for $16, what is the cost of one hamburger?
Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

Hotdog: $1.50

Hamburger: $3.25

Step-by-step explanation:

<em>You write down the 2 equations based off of the information as I did:</em>

Let x = cost of a hotdog

Let y = cost of a hamburger

<em>and so:</em>

<em />

3x + 2y = 11

2x + 4y = 16

<em />

<em>Now, we need to find x and y:</em>

<em>We will make both equations equal to y to compare them to each other.</em>

2y = 11 - 3x

y = 5.5 - 1.5x

4y = 16 - 2x

y = 4 - 0.5x

4 - 0.5x = 5.5 - 1.5x

x = $1.5

<em>Now plugging in x into the equation:</em>

2(1.5) + 4y = 16

3 + 4y = 16

4y = 13

y = $3.25

And so hotdog = $1.5 and hamburger = $3.25

<em />

<em />

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Step-by-step explanation:

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