Question

total of $ 33 comma 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 comma 000 comma how much will be invested in each type of​ investment?

Answer 1

Answer: the amount invested in bonds $18500

the amount invested in certificates of deposits is $14500

Explanation:

Let x represent the amount invested in bonds.

Let y represent the amount invested in certificates of deposits.

A total of $33000 is to be​ invested, some in bonds and some in certificates of deposit​ (CDs). This would be expressed as

x + y = 33000 - - - - - - - - - - - 1

If the amount invested in bonds is to exceed that in CDs by $4000, this would be expressed as

x = y + 4000

Substituting x = y + 4000 into equation 1, it becomes

y + 4000 + y = 33000

2y + 4000 = 33000

2y = 33000 - 4000

2y = 29000

y = 29000/2 = 14500

x = y + 4000 = 14500 + 4000

x = 18500

Answer 2

Answer: $17,000 invested in bonds and $13,000 in certificate of deposit

Step-by-step explanation: let x = amount invested in bonds

y = amount invested in certificate of deposits.

According to the question, amount invested in bonds is $4000 more than the amount invested in certificate of deposits.

x = y + $4000 — (1)

Also from the question, the total money for investment is $30,000

x + y = $30,000 — (2)

By substituting eqn (1) into eqn (2), we have

y + 4000 + y = 30, 000

2y + 4000 = 30,000

2y = 30,000 - 4000

2y = 26,000

y = $ 13,000

But x + y = 30,000 where y = 13,000

x + 13, 000 = 30,000

x = 30,000 - 13,000

x = $17,000

Hence $17, 000 is invested in Bonds and $13, 000 in certificate of deposit