5-2 Math) for Schook: Additional Practice Mar \( 10-1159 \) pem Pat 1 ol 2 Muliple Representations. Three fimes a number, adbed to 8 , is 53 . Whie an equation that you can use to find the mumber: Let arepresent the number What is the number? Use pencil and paper Draur a modal of the equation. Witle an equation that you can use to find the rumber. Choose the correct answer below. A. \( 8 n-3=53 \) R. \( 8 \mathrm{n}+3=53 \) C. \( 3 n+8=53 \) D. \( 3 n-8=53 \)

1. We start with the statement: “Three times a number, added to 8, is 53.” Let the number be \( n \). Then the equation is: \[ 3n + 8 = 53 \] 2. To solve for \( n \), subtract 8 from both sides: \[ 3n = 53 - 8 = 45 \] 3. Divide both sides by 3: \[ n = \frac{45}{3} = 15 \] 4. The correct equation from the choices is: C. \( 3n+8=53 \) 5. A simple model of the equation can be visualized as follows: - Represent the number \( n \) with 15 objects (for example, 15 circles). - Group the 15 objects into 3 equal parts (each part having 5 objects, representing \( 3n \)). - Then add 8 more objects. - The total count should equal 53 objects. Thus, the number is \( 15 \).