The sum of sixteen and six times a number t is eighty-two. What is the number?

Dec 6, 2016

$t = 11$

Explanation:

First, let's write the equation we need to solve one step at a time:

"six times a number $t$" can be written as:

$6 \cdot t$

Then, "The sum of sixteen and " this number can be written as:

$\left(6 \cdot t\right) + 16$

Finally, this term "is eighty-two" gives us:

$\left(6 \cdot t\right) + 16 = 82$

We can now solve for $t$:

$\left(6 \cdot t\right) + 16 - 16 = 82 - 16$

$\left(6 \cdot t\right) + 0 = 66$

$6 t = 66$

$\frac{6 t}{6} = \frac{66}{6}$

$\frac{\cancel{6} t}{\cancel{6}} = 11$

$t = 11$