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:
[tex]x + y = 149000
y = x-18000[/tex]
We solve the system.
Using substitution we have:
[tex]x + (x-18000) = 149000
[/tex]
Clearing x:
[tex]2x = 149000 + 18000
x = 167000/2
x = 83500[/tex]
Then, the value of the second charity is:
[tex]y = x-18000
y = 83500-18000
y = 65500[/tex]
Answer:
charity 1 = $ 83500
charity 2 = 65500 $
