Write Equation: Let's start by writing down the equation given in the problem:5N=0.01(N−76)This equation states that 5 times N is equal to 1% of (N−76).
Distribute 0.01: Next, we need to distribute the 0.01 across the terms inside the parentheses:5N=0.01N−0.01×76This means we multiply 0.01 with N and also with −76.
Perform Multiplication: Now, let's perform the multiplication for the second term on the right side of the equation:5N=0.01N−0.76We have multiplied 0.01 by 76 to get 0.76.
Combine Like Terms: To solve for N, we need to get all the N terms on one side of the equation. Let's subtract 0.01N from both sides:5N−0.01N=−0.76This will help us combine like terms.
Combine N Terms: Now, let's combine the N terms on the left side: 4.99N=−0.76 We have subtracted 0.01N from 5N to get 4.99N.
Isolate N: To find the value of N, we need to divide both sides of the equation by 4.99: N=4.99−0.76This will isolate N on one side of the equation.
Perform Division: Finally, let's perform the division to find the value of N:N≈−0.1523We have divided −0.76 by 4.99 to get the approximate value of N.