Question

Mr. Torres spent $30.00 to buy 9/1/2 pounds of ground beef and chicken for a family cookout. If the price of ground beef was $4.50 per pound and chicken was $3.00 per pound, how many pounds of each did he buy?

Answer 1

Answer:

Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.

Step-by-step explanation:

i) Let x be the number of pounds of ground beef

ii) Let y be the number of pounds of chicken.

iii) therefore    x + y = 9.5 pounds

iv) also we have   4.5 x +  3 y  = 30 dollars

v) multiplying the equation in iii) by 3 we get   3x + 3y = 28.5

vi) Subtracting the equation in v) from the equation in iv) we get  1.5 x  =  1.5

vii) Therefore x  = 1 pound

viii) substituting the value of x in vii) in the equation in iii) we get

    1 + y  = 9.5 .  Therefore y = 8.5 pounds.

ix) Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.