Question

Tammy invested her savings in two investment funds. The amount she invested in Fund A was twice as much as the amount she invested in fund B. Fund A returned a 7% profit and Fund B returned a 5% profit. How much did she invest in Fund B, if total profit from the two funds together WBA's $2280?

Answer 1

Answer: She invested $12000 in fund B.

Step-by-step explanation:

Let x represent the amount which she invested in fund A.

Let y represent the amount which she invested in fund B.

The amount she invested in Fund A was twice as much as the amount she invested in fund B. This means that

x = 2y

Fund A returned a 7% profit. It means that the profit returned from fund A is

7/100 × x = 0.07x

Fund B returned a 5% profit. It means that the profit returned from fund B is

5/100 × y = 0.05y

if total profit from the two funds together was $2280, it means that

0.07x + 0.05y = 2280- - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

0.07 × 2y + 0.05y = 2280

0.14y + 0.05y = 2280

0.19y = 2280

y = 2280/0.19

y = 12000

x = 2y = 2 × 12000

x = 24000