High School

Three more than eight times a number [tex]$x$[/tex] is equal to 83. Which equation represents this situation?

A) [tex]$(3)(8)x=83$[/tex]

B) [tex]$8x=83+3$[/tex]

C) [tex]$3x+8=83$[/tex]

D) [tex]$8x+3=83$[/tex]

Answer :

Sure! Let's break down the problem step-by-step.

We're given the statement: "3 more than 8 times a number [tex]\( x \)[/tex] is equal to 83."

1. Understand the Components:
- "8 times a number [tex]\( x \)[/tex]" means [tex]\( 8x \)[/tex].
- "3 more than" means you add 3 to something.

2. Form the Expression:
- If you take 8 times the number [tex]\( x \)[/tex] and then add 3, it translates to [tex]\( 8x + 3 \)[/tex].

3. Set Up the Equation:
- The phrase tells us this is equal to 83, so we write:
[tex]\[
8x + 3 = 83
\][/tex]

This expression matches option D: [tex]\( 8x + 3 = 83 \)[/tex].

So, the correct equation that represents the situation is option D: [tex]\( 8x + 3 = 83 \)[/tex].

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