Question

Solve for 'n': 299/240 = 13/10n + 299/6.

Options:
a. 5
b. 6
c. 7
d. 8

Answer 1

To solve for 'n' in the equation 299/240 = 13/10n + 299/6, we need to isolate 'n' on one side of the equation. By simplifying and cross multiplying, we can solve for 'n' which equals 3.

Step-by-step explanation:

To solve for 'n' in the equation 299/240 = 13/10n + 299/6, we need to isolate 'n' on one side of the equation. Here are the steps:

1. First, simplify the equation by finding a common denominator for the fractions. The common denominator is 240.
2. Next, cross multiply to eliminate the fractions. Multiply 299 by 240 and 13n by 240 to get 71856 = 13n * 240 + 40,320.
3. Subtract 40,320 from both sides of the equation to isolate 'n'. This gives us 71856 - 40320 = 13n * 240.
4. Simplify the left side of the equation to get 31536 = 13n * 240.
5. Divide both sides of the equation by 13 * 240 to solve for 'n'. The final answer is n = 3.