Answer:
k = 146
m= 106
Kirchoff has $146
Maxi has $106
Step-by-step explanation:
For the purpose of the equations, I’ll call Kirchoff and Maxi a and b respectively.
a - 20 = b + 20 (equation 1)
2(b - 22) = a + 22 (equation 2)
We can juggle those around for
a = b +40 (equation 1r (re-arranged)) and
2b - 44 = a + 22 so 2b - 66 = a (equation 2r (rearranged))
The equations are now:
a = b + 40 (new equation 1) and
a = 2b - 66 (new equation 2)
Substitute from new equation 1 to new equation 2:
b + 40 = 2b - 66 so 40 = b - 66 making b = 106.
Plug b = 106 into new equations 1 and 2 for:
a = 106 + 40 (new equation 1) and
a = 212 - 66 (new equation 2)
This gives a = 146 and b = 106
TEST: There’s a gap of $40, so giving $20 from a to b makes them equal.
SECOND TEST: Subtracting $22 from b makes it $84 and giving that sum to a makes it $168, twice as much. The tests work.
Kirchoff has $146 and Maxi has $106.
