Question

Rick bought a total of 8 pounds of steak and chicken. If steak costs 13.50 per pound and chicken costs 3.25 per pound and he paid a total of 77.25, How many pounds of steak did he purchase?

Answer 1

Rick bought 5 pounds of steak.

Step-by-step explanation:

Given,

Cost per pound of steak = 13.50

Cost per pound of chicken = 3.25

Total bought = 8 pounds

Total paid = 77.25

Let,

x represents the pounds of steak purchased

y represents the pounds of chicken purchased

According to given statement;

x+y=8    Eqn 1

13.50x+3.25y=77.25    Eqn 2

Multiplying Eqn 1 by 3.25

$3.25(x+y=8)\\3.25x+3.25y=26\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(13.50x+3.25y)-(3.25x+3.25y)=77.25-26\\13.50x+3.25y-3.25x-3.25y=51.25\\10.25x=51.25$

Dividing both sides by 10.25

$\frac{10.25x}{10.25}=\frac{51.25}{10.25}\\x=5$

Rick bought 5 pounds of steak.

Keywords: linear equation, elimination method

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