Let's begin by writing algebraic expressions to represent the amount invested at each profit percentage:
x = amount invested at 6% profit
15,000 - x = remainder invested at 10% profit
Now let's write an equation using our algebraic expressions for the two invested amounts and the two profit percentages to express the relationship between the two profit amounts:
Verbal Relationship:
Profit Amount at 10% =
Profit Amount at 6% + $1,000
Percent Conversion to Decimal:
10% = 10/100 = 0.10
6% = 6/100 = 0.06
Algebraic Equation (our answer):
0.10(15,000 - x) = (0.06)(x) + 1,000
