Abraham Lincoln did his homework, and here is the proof. Pretty interesting the type of math problems they worked through back then; seems much like today. Some math just doesn't change....
Here is one of his problems:
If 100 dollars in one year gain 3½ dollars interest, what sum will gain $38.50 cents in one year and a quarter?
So approach this with what is given:
- ONE YEAR you get 3.5 dollars interest on a deposit amount of $100. So that is 3.5% interest.
What is asked:
- How much did you have to deposit to get $38.5 in ONE AND A QUARTER YEARS?
- The interest rate is still 3.5% PER YEAR
Solution: Lets use ratios
1) The original $100 would give how much in an additional 1/4 of a year? That would be 1/4 of what you get in one year, so 1/4 of 3.5 = 0.875. So the total I get for one year plus a quarter year is 3.5 + 0.875 = $4.375
That means for every $100 I deposit, I get $4.375 for every 1.25 years.
That also means for every $1 I deposit, I get $0.04375. That's 4.375 cents of interest per $1.
2) Since the total interest I want to have is $38.5 then I can divide it by $0.04375 and the result is $880.
** FINAL ANSWER: $38.5 / $0.04375 = $880 **
Lincoln's Solution.
He worked in Pennies not dollars, so he figured for the original $100 he got 350 cents per year. He did this:
350 * 15 months = 5250 cents.
3850 cents * 12 months = 46200 cents
46200 divided by 5250 * 100 = $880
Basically the same thing once you work through it.
Comments: 0