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5N = 0.01(N-76)

5N=0.01(N76)5N =0.01(N-76)

Full solution

Q. 5N=0.01(N76)5N =0.01(N-76)
  1. Write Equation: Let's start by writing down the equation given in the problem:\newline5N=0.01(N76)5N = 0.01(N - 76)\newlineThis equation states that 55 times NN is equal to 1%1\% of (N76)(N - 76).
  2. Distribute 0.010.01: Next, we need to distribute the 0.010.01 across the terms inside the parentheses:\newline5N=0.01N0.01×765N = 0.01N - 0.01 \times 76\newlineThis means we multiply 0.010.01 with NN and also with 76-76.
  3. Perform Multiplication: Now, let's perform the multiplication for the second term on the right side of the equation:\newline5N=0.01N0.765N = 0.01N - 0.76\newlineWe have multiplied 0.010.01 by 7676 to get 0.760.76.
  4. Combine Like Terms: To solve for NN, we need to get all the NN terms on one side of the equation. Let's subtract 0.01N0.01N from both sides:\newline5N0.01N=0.765N - 0.01N = -0.76\newlineThis will help us combine like terms.
  5. Combine N Terms: Now, let's combine the NN terms on the left side: 4.99N=0.764.99N = -0.76 We have subtracted 0.01N0.01N from 5N5N to get 4.99N4.99N.
  6. Isolate N: To find the value of N, we need to divide both sides of the equation by 4.994.99: \newlineN=0.764.99N = \frac{-0.76}{4.99} \newlineThis will isolate NN on one side of the equation.
  7. Perform Division: Finally, let's perform the division to find the value of NN:N0.1523N \approx -0.1523We have divided 0.76-0.76 by 4.994.99 to get the approximate value of NN.