Question

$149,000 estate is to be divided between two charities so that one charity receives $18,000 less than the other. How much will each charity receive?

Answer 1

For this case, the first thing we must do is define variables.
We have then:
x: amount of money for charity 1.
y: amount of money for charity 2.
We now write the system of equations that models the problem:

`x + y = 149000 y = x-18000`
We solve the system.
Using substitution we have:

`x + (x-18000) = 149000`
Clearing x:

`2x = 149000 + 18000 x = 167000/2 x = 83500`
Then, the value of the second charity is:

`y = x-18000 y = 83500-18000 y = 65500`
Answer:
charity 1 = $ 83500
charity 2 = 65500 $