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Tyler has two savings accounts that his grandparents opened for him. One of the accounts pay 8% annual interest, whereas the other pays 9% annual interest. If you have $200 more invested at 9% than you invested at 8%, how much do you have invested in each account if the total amount of interest you earn in a year is $69?

Respuesta :

Answer:

You have invested $300 at 8% and $500 at 9%.

Explanation:

From the information given you can write the following equations:

y=x+200 (1)

0.08x+0.09y=69 (2)

x is the amount invested at 8%

y is the amount invested at 9%

You can replace 1 in 2 and solve for x:

0.08x+0.09(x+200)=69

0.08x+0.09x+18=69

0.17x=69-18

x=51/0.17

x=300

Then, you can replace the value of x in 1 to find the value of y:

y=300+200

y=500

According to this, you have invested $300 at 8% and $500 at 9%.

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