Question

Translate each sentence into an equation.

The quotient of 25 and t plus 6 is the same as twice t plus 1.

Short answer

The equation of the given statement is $\frac{25}{t}+6=2t+1$.

Step-by-step solution

Step 1. Given information.

We have a sentence ‘’ The quotient of 25 and t plus 6 is the same as twice t plus 1’’.

Translate the given sentence into an equation.

Step 2. Translate equation.

The statement, the quotient of 25 and t plus 6, in algebraic expression can be expressed as

25t+6

And the statement, the same as twice t plus 1, can be expressed as

$2t+1$

Step 3. Conclusion.

Now, as per the given statement, both the expression found above are the same. So, to get the required equation, just equate both the expressions.

Hence, the equation of the given sentence is:

$\frac{25}{t}+6=2t+1$.