SOLUTION: a total of $20,000 is to be invested, some in bonds and some in certficates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $2000, how much will be in

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Question 642493: a total of $20,000 is to be invested, some in bonds and some in certficates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $2000, how much will be invested in each type of instrument?

Answer by Century(7) About Me  (Show Source):
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A total of $20,000 is to be invested, some in bonds and some in certficates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $2000, how much will be invested in each type of instrument?
Let C = the amount invested in CDs
then the amount invested in bonds will be C+2000.
From this information an equation can now be written
C%2BC%2B2000=20000
or in words the amount invest in CDs plus the amount invested in bonds equals 20000.
This equation can be written as 2C%2B2000=20000
Subtracting 2000 from both sides you get 2C=18000
Dividing both sides by 2 you get C=9000
Therefore the amount invested in CDs is $9000 and the amount invested in bonds is $2000 more or $11000.