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Sloan [31]
3 years ago
6

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

ach charity receive?
Mathematics
1 answer:
loris [4]3 years ago
5 0
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 $
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