Final answer:
To solve the equation n/6 = 14/42 for n, we simplify the right side to 1/3, then multiply both sides by 6 to isolate n, resulting in n = 2.
Step-by-step explanation:
To solve for the unknown quantity n in the equation n/6 = 14/42, we can start by simplifying both sides of the equation. The right side of the equation simplifies to 1/3 since 14 divided by 42 is 1/3. Then we have the equation n/6 = 1/3.
Now, to isolate n, we multiply both sides of the equation by 6 (the denominator on the left side) to get n = (1/3) × 6. Multiplying 1/3 by 6, we get n = 2, which is the solution to the equation.