A multiplicative inverse is a reciprocal. ... A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1!
For this case we have the following solution. x = gallons of water to be added For the 10% solution we have: 0.1 * 8 = 0.8 Then, for 5% we have: (0.8 / x + 8) = 0.05 Rewriting: (0.8 / x + 8) = (5/100) Answer: An equation can be used to find x, the humber of gallons of water he should add is: (0.8 / x + 8) = (5/100)
To solve this problem we need to use the appropriate formula for simple interest, which is shown below:
M = C*r*t
Where M is the amount of interest, C is the initial amount of money, r is the rate of interest and t is the time elapsed in years. Applying the data from the problem we have:
