Question

Madelyn has $4000 more invested in 4% fruit-and-vegetable stocks than she has invested in 7% oil stock. If the total annual income from these stocks is $1172, how much does she have invested in oil stocks?

Answer 1

So the two equations would be
a= 4000 + b
0.04a + 0.07b=1172
a being fruit and vegetables, b been oil
Then you substitute a in, and the answer is b = 9200, so $9200.

Answer 2

Answer: Amount invested in oil stocks is $9200.

Explanation:

Let the amount of money invested in fruit and vegetable stocks be 'x'.

Let the amount of money invested in oil stocks be 'y'.

So, Madelyn has invested $4000 more in 4% fruit and vegetable than 7% in oil stocks.

And sum of annual income from these stocks is $1172.

According to question, it becomes,

`x-y=\$4000---------------(1)\\\\and\\\\0.04x+0.07y=\$1172----------(2)`

From eq(1), we get that

`x=4000+y`

Put it in the eq(2), we get that

`0.04(4000+y)+0.07y=\$1172\\\\160+0.04y+0.07y=1172\\\\0.11y=1172-160\\\\0.11y=1012\\\\y=(1012)/(0.11)\\\\y=\$9200`

So, x= 4000+y

x=4000+9200

x=$ 13200

Hence, Amount invested in oil stocks is $9200.