Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 6
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20Multiply both sides by 1000 to move each decimal point 3 places to the right.
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275X + 525 = 1900
275X = 1375
X= 5
We are asked to find how many of each coin we had. Since X = 5
!
Number of dimes (X) is 5
Number of nickels (X+3) is 8
Number of quarters 1/2(X+3) is 4
INVESTMENT PROBLEMS
ADDITIONAL HINT If you know the whole amount, but neither of the individual parts,
call one of the parts “X”. Then the other part may be represented by “the whole amount”
minus “X”. For example, if the whole inheritance of $ 20,000 is divided into two parts,
one part is X and the other part is $ 20,000 - X.
EXAMPLE
1. A man invests a total of $24,000. Part is invested at 4% simple annual interest rate
while the remainder is invested at 6% simple annual interest rate. His total yearly
interest is $1040. Find the amount invested at 4%.
Read the problem carefully.
!
Recognize that you are dealing with investment problem (clue words: investment,
!
principal, interest, income).
The chart for an investment problem looks like this:
!
Principal
Interest Rate
Interest Earned
Investment # 1
Investment # 2
!
Remember this investment is only for one year so you don’t need an additional column for the
number of years. Go back and reread the problem.
!
For this particular problem you are asked to find the amount invested at 4% call that “X”. The
remaining amount invested at 6% is (24000 - X).
!
Fill in the chart:
Principal
Interest Rate
Interest Earned
X
0.04
0.04X
24000 - X
0.06
0.06(24000 - X)
You to know the formula to calculate interest is
!
Interest = Principal * Rate * Time.
!
In this case we can ignore time because the rate of interest is an annual rate.
!
We also ignore it in the computation. Thus, the INTEREST is computed by
multiplying across the rows of the chart.
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