B). Kirchoff has more money than Maxi. If Kirchoff gave Maxi $20, they would have the same amount. While it Maxi gave Kirchoff $22, Kirchoff would then have twice as much as
Maxi. How much does each one actually have?

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.

answer: the correct answer is -32

step-by-step explanation: