Math Snap

STEP 1

Assumptions1. Kathy's retirement savings is four times Mark's retirement savings.
. The total retirement savings of Kathy and Mark is $1,455,000.

STEP 2

Let's denote Kathy's retirement savings as $K$ and Mark's retirement savings as $M$. According to the problem, Kathy's savings is four times Mark's savings. We can write this as$$K =4M$$

STEP 3

The total retirement savings of Kathy and Mark is $1,455,000. We can write this as$K + M = \(\)1,455,000$$

STEP 4

Now we have a system of two equations. We can solve this system by substitution. First, substitute $K =4M$ into the second equation4M + M = \($\)1,455,000

STEP 5

implify the equation5M = \($\)1,455,000

STEP 6

olve the equation for $M$M = \($\)1,455,000 /5

STEP 7

Calculate the value of $M$M = \($\)1,455,000 /5 = \($\)291,000

STEP 8

Now that we have the value of $M$, we can find the value of $K$ by substituting M = \(\)291,000$into the first equation$$K =4M$$

STEP 9

Substitute M = \(\)291,000$into the equation$K =4 \\times \(\)291,000$$

Calculate the value of $K$K =4 \\times \($\)291,000 = \($\),164,000Kathy's retirement savings is $,164,000 and Mark's retirement savings is$291,000.