Question

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 & each hamburger weighed 1/3 pound. How many of each did Vong grill?

Answer 1

`x-number\ of\ hamburgers\\21-x-number\ of\ turkey\ burgers\\\\(1)/(4)x=(1)/(3)(21-x)\\\\(1)/(4)x=7-(1)/(3)x\\\\(3)/(12)x+(4)/(12)x=7\\\\(7)/(12)x=7\ \ \ \ \ |\cdot(12)/(7)\\\\x=12\\\\21-12=9\\\\Vong\ grilled\ 12\ hamburgers\ and\ 9\ turkey\ burgers`