Question

Giles is making tacos for dinner and bought some beef and chicken. At the store, he bought twice as much beef as chicken. The chicken costs $1.85 per pound, and the beef costs $3.70 per pound. Before sales tax, Giles spent a total of $12.95 on beef and chicken. The system of equations below represent the pounds of chicken, x, and pounds of beef, y, that Giles purchased. Part A: Use the ray tool to graph the system of equations on the coordinate plane. Part B: Use the point tool to select the approximate pounds of beef Giles purchased.

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Chicken costs $1.85 per pound, and the beef costs $3.70 per pound. Let x represent the pounds of chicken and y represent the pound of beef. If he spent a total of $12.95, therefore:

1.85x + 3.7y = 12.95           (1)

He bought twice as much beef as chicken, therefore:

y = 2x

y - 2x = 0                             (2)

Solving eqn 1 and eqn 2 simultaneously. Multiply equation (2) by 3.7 and subtract from equation (1)

9.25x = 12.95

x = 1.4 pounds

Also substitute x = 1.4 in equation 2:

y - 2(1.4) = 0

y = 2(1.4)

y = 2.8 pounds

The graph was plotted using geogra, the y coordinate of the point of intersection of the two lines, is the approximate pounds of beef.