An investment of $27,000 was made by a business club. the investment was split into three parts and lasted for 1 year. the first part earned 8% interest, the second 6% and the third 9%.total interest from the investment was $2130.the interest from the first investment was three times the interest from the second find the amounts of the three parts of investments

Answer

Find out the amounts of the three parts of investments .

To proof

let us assume that first part of investment be = u

let us assume that second part of investment be = v

let us assume that third part of investment be = w

As given

An investment of $27,000 was made by a business club.The investment was split into three parts and lasted for 1 year.

than the equation is written in the form

u + v + w = 27000

.The first part earned 8% interest,the second 6% and the third 9%.total interest from the investment was $2130.

8% is written in the decimal form

= 0.08

6% is written in the decimal form

= 0.06

9%  is written in the decimal form

= 0.09

than the equation in the form

0.08u +0.06v +0.09w = 2130

equation written in the simple form

8u +6v +9w =213000

As given

the first investment was three times the interest from the second

u = 3v

Than the three equation in the form

u + v + w = 27000 , 8u +6v +9w =213000 , u = 3v

put this  u = 3v in the equation u + v + w = 27000 , 8u +6v +9w =213000

than the equation

30v +9w + 213000

4v +w = 27000

multiply the 4v +w = 27000 by 9 and subtracted with 30v +9w + 213000

36v-30v  +9w-9w =243000- 213000

6v = 30000

v =$5000

put this in the equation

u =3v

u = 3× 5000

u= $15000

put the value u , v in the equation u + v + w = 27000

5000 + 15000 +w = 27000

w = $7000

than the three part be $5000, $15000,$7000

Hence proved

4th option is correct xy=-10

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