her comission is $5,220 from the sale of $87,000
I LOVE THIS PUZZLE
so,
the solution is
take 10 coins off to the side
flip those 10 over
done
sounds too simple?
this can be solved with algebra for ANY number of coins
lets say we have 50 coins, all tails
we flip h coins head
if h=x+y
if we seperate h coins off, we get x heads, and y tails
and in the other pile, we have y heads and the rest of the tails
so now, if we flip all the coins, we get y heads in the pile and x tails
solution:
seperate 10 coins and flip all 10 of them over
In the second equation you are given what Y equals, which is (-5x - 3). You would use this equation and plug it into the y value given in the first equation where it says 2y and solve
That would be
3x - 2(-5x - 3) = -6
3x + 10x + 6 = -6
3x + 10x = -6 - 6
13x = -12
X = -12/13
Then if you want to solve for Y you can use any equation and plug in the x-value found.
I’m going to use equation 2.
Y = -5x - 3
Y = -5(-12/13) - 3
Y = 4.615 - 3
Y = 1.615
(-12/13, 1.615)
Therefore the x-value is -12/13 and the y-value is 1.615.