SOLUTION: Lane invested $10,000 part at 15% and part at 14% If the total interest at the end of the year is 1,430, how much did she invest at 15%?

Question 53282: Lane invested $10,000 part at 15% and part at 14% If the total interest at the end of the year is 1,430, how much did she invest at 15%?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Lane invested $10,000, part at 15%, and part at 14%. If the total interest at the end of the year is 1,430, how much did she invest at 15%?
:
We know the two investment total is $10,000, therefore:
:
Let x = amt of the 15% investment
Then [10000-x] = amt of 14% investment
:
A simple interest equation:
:
.15x + .14(10000-x) = 1430
.15x + 1400 - .14x = 1430
.01x = 1430-1400
x = 30/.01
x = 3000 is the 15% amt
:
Then the 14% amt would have to be $7000, obviously
:
Check: .15(3000) + .14(7000) =
450 + 980 = 1430

RELATED QUESTIONS
Lane invested $10,000, part at 15% and part at 14%. If the total interest at the end... (answered by tutorcecilia)

Lane invested $10,000, part at 15% and part at 14%. If the total interest at the end... (answered by Fombitz)

Lane invested $10,000, part at 15% and part at 14%. If the total interest at the end of... (answered by checkley71)

Lane invested $10,000, part at 15% and part at 14%. If the total interest at the end of... (answered by scott8148)

Can someone help me here? Lane invested $14,000, part at 15% and part at 2%. If the (answered by josmiceli)

Lane invested $14,000, part at 15% and part at 2%. If the total interest at the end of... (answered by checkley75)

Lane invested $14000 part at 15% and part at 2%. If the total interest at the end of the... (answered by stanbon)

I need help with this problem please: Lane invested $14,000, part at 15% and part at... (answered by checkley75)

Carla invested $28,000, part at 14% and part 9%. IF the total interest at the end of the... (answered by edjones)