Question

Yo is this correct? A group of students go out to lunch. If four have burritos and two have tacos, the bill will be $19.00. If three have burritos and three have tacos the bill will be 17.25. Find the price of each burrito and taco

Answer 1

The price of the burrito is $3.5 and the price of the taco is $2.5.

Explanation:

2x+5y=19.5

5x+2y=22.5

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5(2x+5y)=5(19.5)

-2(5x+2y)=-2(22.5)

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10x+25y=97.5

-10x-4y=-45

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21y=52.5

y=52.5/21=2.5

2x+5(2.5)=19.5

2x+12.5=19.5

2x=19.5-12.5

2x=7

x=7/2=3.5

x=3.5, y=2.5

The price of the burrito is $3.5 and the price of the taco is $2.5.