Question

A total of $71,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in

bonds is to exceed that in CDs by $4,000, how much will be invested in each type of investment?
The amount invested in CDs is_
The amount invested in bonds is _

Answer 1

• The amount invested in CDs is $33500,
• The amount invested in bonds is $37500.

Explanation:

Let the investment in certificates is c and bonds is b.

Set up equations:

• c + b = 71000
• b - c = 4000

Solve the system by elimination, add up the two equations:

• c + b + b - c = 71000 + 4000
• 2b = 75000
• b = 75000/2
• b = 37500

Find c:

• 37500 - c = 4000
• c = 37500 - 4000
• c = 33500