SOLUTION: A group of Wagner students goes 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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A group of Wagner students goes 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      Log On


   



Question 1178136: A group of Wagner students goes 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. What is the price of a burrito, x, and the price of a taco, y?
Found 3 solutions by mananth, MathTherapy, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
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x price of burrito 0.06
y price of taco 0.17


5.00 x + 2.00 y = 19.50


2.00 x + 5.00 y = 22.50 .............2
Eliminate y
multiply (1)by -5.00
Multiply (2) by 2.00
-25.00 x -10.00 y = -97.50
4.00 x 10.00 y = 45.00
Add the two equations
-21.00 x = -52.50
/ -21.00
x = 2.50
plug value of x in (1)
5.00 x + 2.00 y = 19.50
12.50 + 2.00 y = 19.50
2.00 y = 7.00
y = 3.50
Ans x = 2.50
y = 3.50
2.50 price of burrito
3.50 price of taco

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

A group of Wagner students goes 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. What is the price of a burrito, x, and the price of a taco, y?
The other person's answers are WRONG! 


Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
Assumed, one item for each person

t, Taco price
b, Burrito price

system%282b%2B5t=19.5%2C5b%2B2t=22.5%29


ADD: 7b%2B7t=42
or
b%2Bt=6



Possible System to Use:
system%282b%2B5t=19.5%2C2b%2B2t=12%29

E1-E2:
3t=7.5
highlight%28t=2.5%29
AND
highlight%28b=3.5%29