If n/35 = 8/5, then n =
n equals 56.
To solve for n in the equation n/35 = 8/5, we can cross-multiply, yielding n = (8/5) * 35, which simplifies to 56. Thus, the value of n is confirmed to be 56.
If n were 40, substituting this value back into the equation gives 40/35 = 8/5, which simplifies to 8/7, not equal to 8/5. Therefore, 40 is not a solution to the equation.
Substituting 42 into the equation results in 42/35, which simplifies to 6/5, again differing from 8/5. Thus, 42 cannot be the correct value for n.
Using 48 in the equation gives 48/35, simplifying to approximately 1.37, or 6/5. This does not equate to 8/5, confirming that 48 is not the valid solution.
When we substitute 56 back into the equation, we find 56/35 simplifies to 8/5, which matches the original equation. Therefore, this confirms that 56 is indeed the correct answer.
The value of n that satisfies the equation n/35 = 8/5 is determined to be 56 after performing the necessary calculations. The other options—40, 42, and 48—do not yield a true statement when substituted into the original equation, making them incorrect. Thus, 56 stands as the only valid solution.
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