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Five times a number added to 10 is 20. What is the number?

Determine the correct equation and the unknown number in this situation.

(1 point)
Responses

5+n+10=20

n = 5

5 plus n plus 10 is equal to 20 n = 5

5(n+10)=20

n = -6

5 times open paren n plus 10 close paren is equal to 20 n = -6

5+10n=20

n = 1.5

5 plus 10 n is equal to 20 n = 1.5

5n+10=20

n = 2

1 answer

To solve the problem, we need to set up the equation based on the statement: "Five times a number added to 10 is 20."

Let the unknown number be \( n \). The correct equation based on the statement is:

\[ 5n + 10 = 20 \]

Now, we can solve for \( n \):

  1. Subtract 10 from both sides: \[ 5n = 20 - 10 \] \[ 5n = 10 \]

  2. Divide both sides by 5: \[ n = \frac{10}{5} \] \[ n = 2 \]

So the correct equation is \( 5n + 10 = 20 \) and the unknown number is \( n = 2 \).

The correct response is: \( 5n + 10 = 20 \)
\( n = 2 \)