The price of the hamburger is $5
By using the substitution method, we can determine the price of soda (x) and the price of hamburger (y)
We are being told that Art paid $8.50 to buy 2 large sodas and 1 hamburger.
Let consider the soda to be (x) and the amount of hamburger to be (y)
Mathematically, we can rewrite the above expression as:
Similarly, Nila paid $27.00 to buy 4 large sodas and 4 hamburgers.
2x + y = 8.50 ----- (1)
4x + 4y = 27 ----- (2)
From equation (1), let y = 8.50 - 2x and replace that into equation (2)
∴
4x + 4(8.50 - 2x) = 27
4x + 34 - 8x = 27
34 - 4x = 27
4x = 34 - 27
4x = 7
x = 7/4
To find y; let's replace the value of x into equation (1)
2(x) + y = 8.50
2(7/4) + y = 8.50
3.50 + y = 8.50
y = 8.50 -3.50
y = 5
Therefore, we can conclude that the price of the hamburger is $5
Learn more about substitution method here:
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