Question

Mike wants to make meatloaf. His recipe uses a total of 8 pounds of meat.

If he uses a 3 to 1 ratio of beef to pork, how much pork will he use? Enter your answer as a mixed number in simplest terms.

@misz.lopez115 @hartnn

Answer 1

Let us say that x is the total amount of pork and y is the total amount of beef. That gives us two equations:

x + y = 8
3x = y

We solve this using a system of linear equation.

x + y = 8
3x = y

<=>

x = 8 - y
3x = y

<=>

x = 8 - y
3(8 - y) = y

<=>

x = 8 - y
24 - 3y = y

<=>

x = 8 - y
24 = 4y

<=>

x = 8 - y
y = 6

<=>

x = 8 - 6 = 2
y = 6

Your solution set is {(2, 6)}. This means you use 2 pound of pork and 6 pounds of beef.

Algebra takes a lot of practice, but once you get to know how things work, there is a huge amount of problems you can solve easily, without trial-and-error solutions. if it's wrong, im sorry

Answer 2

\[2 \frac{ 2 }{ 3 }\]

Answer 3

So is the final answer what josh said?

Answer 4

I'm not sure, I got 2 and or 2/6 but again i could be wrong

Answer 5

If you got 2 2/6 then that simplifies to 2 1/3 right?

Answer 6

Right, thanks ^.^

Answer 7

thx