SOLUTION: A group of students go out to lunch. If two have burritos and five have tacos, the bill will be 19.50. If five have burritos and two have tacos, the bill will be 22.50. Find the pr

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Question 541733: A group of students go out to lunch. If two have burritos and five have tacos, the bill will be 19.50. If five have burritos and two have tacos, the bill will be 22.50. Find the price of each taco and each burrito.
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Let b stand for burritos and t stand for tacos.

The we have:

2b%2B5t=19.50 and 5b%2B2t=22.50

Then you could use the elimination method or the substitution method to solve this system of equations.

I would go with the elimination method, multiplying the 1st equation by 5, and the second equation by 2.

This will allow you to eliminate either the b or the t variable.

10b%2B25t=97.5 and 10b%2B4t=45

Subract the second equation from the first an you end up with:

21t=52.5

Thus t=2.50

I will leave it up to you to solve for b by substituting the value for t back into either original equation.

I hope this helps!