Question 430705
B = price of a burrito
T = price of a taco
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3B + 2T = 11.5
2B + 3T = 11
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Now we have simultaneous equations that have to be solved, which is a bit tedious, but cannot be avoided.
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Multiply the first equation by 2 across both sides:
6B + 4T = 23
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Multiply the second equation by 3 across both sides
6B + 9T = 33
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Now we can do the arithmetic...
6B + 4T = 23
6B + 9T = 33
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Subtract the 2nd equation from the 1st.
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-5T = -10
Divide both sides by -5
T = 2, which means each taco cost $2.
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Substitute T=2 into one of the prior equations:
3B + 2T = 11.5
3B + 2(2) = 11.5
3B + 4 = 11.5
Subtract 4 from both sides.
3B = 7.5
Divide both sides by 3
B = 2.5, which means each burrito cost $2.50
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To check your work, substitute these values into the other equation:
2B + 3T = 11
2(2.5) + 3(2) = 5 + 6
5+6 = 11
That checks.
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Now refer to the question to be sure to state your answer clearly.
Answer: One taco costs $2.00.
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Done.