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nommies005
07.03.2021 •
Mathematics
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 and 4 hamburgers for $16, what is the cost of one hamburger?
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Ответ:
Hotdog: $1.50
Hamburger: $3.25
Step-by-step explanation:
You write down the 2 equations based off of the information as I did:
Let x = cost of a hotdog
Let y = cost of a hamburger
and so:
3x + 2y = 11
2x + 4y = 16
Now, we need to find x and y:
We will make both equations equal to y to compare them to each other.
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
Now plugging in x into the equation:
2(1.5) + 4y = 16
3 + 4y = 16
4y = 13
y = $3.25
And so hotdog = $1.5 and hamburger = $3.25
Ответ: