Atotal of $91,000 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 $8 ,000 comma how much will be invested in each type of investment?

CD:        41,500

Bonds:  49,500

Explanation:

Base on the information we are given, we can create an equation system:

The total investment in bonds and certificates of deposit totals 91,000

and the amount investment on bonds are 8,000 higher than Certificates of deposit

We replace the bonds of the second equation on the first equation:

CD + (CD + 8,000) = 91,000

And solve for certificates of deposits

2CD = 91,000 - 8,000

CD = 83,000/2 = 41,500

Now, we replace the CD on the second equation

Bonds = CD + 8,000

Bonds = 41,500 + 8,000 = 49,500

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