## A group of students goes out to lunch. If two have burritos and five have tacos, the bill will be $19.50. If five students have burritos an

Question

A group of students goes out to lunch. If two have burritos and five have tacos, the bill will be $19.50. If five students have burritos and two have tacos, the bill will be $22.50. Find the price of each taco and burrito

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Math
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2021-10-10T21:31:55+00:00
2021-10-10T21:31:55+00:00 1 Answer
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## Answers ( )

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

Step-by-step explanation:2x+5y=19.5

5x+2y=22.5

——————

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

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

—————————–

10x+25y=97.5

-10x-4y=-45

———————–

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.