1. The problem states: "Three times a number, added to 8, is 53." We need to write an equation to find the number $n$. 2. Translate the words into an equation: - "Three times a number" means $3n$. - "Added to 8" means $3n + 8$. - This sum equals 53, so the equation is: $$3n + 8 = 53$$ 3. Among the options, this matches option B. 4. Now solve for $n$: $$3n + 8 = 53$$ 5. Subtract 8 from both sides: $$3n + \cancel{8} - \cancel{8} = 53 - 8$$ $$3n = 45$$ 6. Divide both sides by 3: $$\frac{3n}{\cancel{3}} = \frac{45}{\cancel{3}}$$ $$n = 15$$ 7. The number is $15$. 8. A model could be a bar divided into 3 equal parts representing $3n$, plus a block of 8, totaling 53. Final answer: $n = 15$.