Jessica invested her savings in two investment funds. The amount she invested in Fund A was $8000 less than the amount she invested in Fund B. Fund A returned a 2% profit and Fund B returned a 8% profit. How much did she invest in Fund B, if the total profit from the two funds together was $2140

Respuesta :

Answer:

23,000

Explanation:

Jessica invested her savings in two investment funds

The amount that she invested in fund A was $8000 than the amount invested in fund B

A + B = -8000.......... equation 1

Fund A returned 2% profit and fund B returned 8% profit

2/100= 0.02 , 8/100= 0.08

0.02A + 0.08B= 2140.............equation 2

From equation 1

A -B= -8000

A= -8000+B

Substitute -8000-B for A in equation 2

0.02(-8000+B) + 0.08B= 2140

-160+0.02B + 0.08B= 2140

-160 + 0.1B= 2140

Collect the like terms

0.1B= 2140+160

0.1B= 2300

B= 2300/0.1

B= 23,000

From equation 1

A-B= -8000

A= -8000+B

Substitute 23,000 for B

A = -8000+23000

A= 15,000

Hence Jessica invested 23,000 in fund B