Krystal grilled 21 burgers at a block party. She grilled the same number of pounds of turkey burgers as hamburgers. Each turkey burger weighed 1/4 pounds and each hamburger weighed 1/3 pound. How many of each did Krystal grill?

Question

~Please help me and provide an explanation for your answer.
Please and thank you!

Answer 1

number of hamburgers ---- x
number of turkeyburgs --- 21-x

weight of hamburgers = (1/3)x
weight of turkeyburgs = (1/4)(21-x

so (1/3)x = (1/4)(21-x)
times 12 , the LCD
4x = 3(21-x)
4x = 63-3x
7x = 63
x = 9

so 9 hamburgers and 12 turkeyb's