SOLUTION: Vern invested $11,000. Part was invested at 15% and part at 13%. If the total interest at the end of the year is $1,610, how much did he invest at 15%? 2 pts

Question 39396: Vern invested $11,000. Part was invested at 15% and part at 13%. If the total interest at the end of the year is $1,610, how much did he invest at 15%?
2 pts
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let x be the amount invested at 15%.
Then 11000 - x is the amount invested at 13%.
So we have the equation
(.15)x + (.13)(11000 - x) = 1610
Multiply all by 100 to clear decimals (makes it easier)
15x + 13(11000 - x) = 161000
15x + 143000 - 13x = 161000
2x = 18000
x = $9000, the amount at 15%
11000 - x = $2000, the amount at 13%
RELATED QUESTIONS
Vern invested $11,000. Part was invested at 15% and part at 13%. If the total interest... (answered by wuwei96815)

You invested $5000 of your savings, part at 11% annual interest and the rest at 13%... (answered by fractalier)

joe invested $5000 part at 11 annual interest and the rest at 13% annual interest if he... (answered by fractalier)

Ethan invested $19,000 for 1 year, part at 11% simple interest and part at 13% simple... (answered by ikleyn,mananth,Edwin McCravy,greenestamps)

Invested $22,000, part at 8% and part at 7%. If the total interest at the end of the... (answered by stanbon)

Erica invested a total of $5,000, part at 3% simple interest and part at 4% simple... (answered by rfer)

jonathan invested a total of $3200, part at 4% simple interest and part at 5% simple... (answered by mananth)

Katie invested a total of $8000. Part at 5% simple interest and part at 6% simple... (answered by Boreal)

Katie invested a total of $4000, part at 3% simple interest and part at 4% simple... (answered by josmiceli)