Which equation represents this sentence? Five more than three times the number is one-third more than the sum of the number and itself.
Answer:
\(3n+5=(n+n)+\frac{1}{3}\)
Step-by-step explanation:
Let n represent the number.
Three times the number would be \(3n\).
Five more than three times the number would be \(3n+5\).
The sum of the number and itself would be \(n+n\)
One-third more than the sum of the number and itself would be \((n+n)+\frac{1}{3}\)
Equate both expressions:
\(3n+5=(n+n)+\frac{1}{3}\)
Therefore, the equation \(3n+5=(n+n)+\frac{1}{3}\) represents the given scenario.