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Deandre invested his savings in two investment funds. The amount he invested in Fund A was twice as much as the amount he invested in Fund B. Fund A returned a 7% profit and Fund B returned a 3% profit. How much did he invest in Fund B, if the total profit from the two funds together was $1530?

Respuesta :

sqdancefan

Answer:

  $9000

Step-by-step explanation:

Let a and b represent the amounts invested in the two funds. The problem statement gives two relations:

  a = 2b . . . . . . the amount invested in A was twice that invested in B

  7%×a +3%×b = 1530 . . . . . the total profit from the two funds

Substituting for a in the second equation, we have ...

  0.07(2b) + 0.03b = 1530

  0.17b = 1530 . . . . . . . . . . collect terms

  1530/0.17 = b = 9000

Deandre invested $9000 in Fund B.

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