Question

i have no idea how to do this please help me. picture attached. medal awarded.

Answer 1

We are given that gov A makes $50, 320 more than gov B. How can we represent that through an equation? Also, we know that if we combine gov A's and gov B's cash we get $306,780. How do you think we can represent this statement as an equation?

Answer 2

50,320 x X=306,780?

Answer 3

Hmmm, not quite. Let us start with the first statement. If gov A makes $50, 320 more than gov B, then we could write that\[govA = govB + $50,320\]
If you were to give govB $50,320, then govA and govB would have the same amount of cash.

Answer 4

Okay, so what do I do next?

Answer 5

How do you think you would represent the next statement?

Answer 6

govA+govB=306,780

Answer 7

Great! Now we have two equations and two unknowns and we can use a system of equations to solve for govA and govB. Do you feel comfortable with that?

Answer 8

Yes, but I'm not sure how to set it up.

Answer 9

Ok. For the first equation, we can rewrite it as
\[govA - govB = $50,320\]

and so we can set up the system as so
\[govA - govB = $50,320\]
\[govA + govB = $306,780\]

Answer 10

are the answers 281,620 and 25,160?

Answer 11

Mmmm I don't think so. How did you go about solving this system?