SOLUTION: Vong grilled 21 burgers at a block party. He grilled the same number of pounds of turkey burgers as hamburgers. Each turkey burger weighed 1/4 pound and each hamburger weighed 1/3

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Vong grilled 21 burgers at a block party. He grilled the same number of pounds of turkey burgers as hamburgers. Each turkey burger weighed 1/4 pound and each hamburger weighed 1/3       Log On


   



Question 276427: Vong grilled 21 burgers at a block party. He grilled the same number of pounds of turkey burgers as hamburgers. Each turkey burger weighed 1/4 pound and each hamburger weighed 1/3 pound. How many of each did Vong grill?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Vong grilled 21 burgers at a block party. He grilled the same number of pounds of turkey burgers as hamburgers. Each turkey burger weighed 1/4 pound and each hamburger weighed 1/3 pound. How many of each did Vong grill?
---------------------
Quantity Eq: t + h = 21
Weight Eq::: (1/4)t - (1/3)h = 0
---------------------------------------
Modify the equations:
3t - 4h = 0
3t + 3h = 3*21
-------------------
Subtract 1st from the 2nd:
7h = 3*21
h = 9 (# of turkey burgers grilled)
------------------
Since t + h = 21, h = 12 (# of hamburgers grilled)
=======================================================
Cheers,
Stan H.
=======================================================