High School

Which equation represents the situation where 3 more than 8 times a number [tex]x[/tex] is equal to 83?

A) [tex]3 \times 8 \times x = 83[/tex]

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

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

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

Answer :

We start with the phrase:

"3 more than 8 times a number [tex]\( x \)[/tex] is equal to 83."

1. First, "8 times a number [tex]\( x \)[/tex]" is expressed as:
[tex]$$8x.$$[/tex]
2. Then, "3 more than 8 times a number" means we add 3 to [tex]\( 8x \)[/tex], giving:
[tex]$$8x + 3.$$[/tex]
3. Since this expression is equal to 83, we have:
[tex]$$8x + 3 = 83.$$[/tex]

Thus, the equation that represents the situation is option D:
[tex]$$8x+3=83.$$[/tex]

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