Question #9008c

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Answer 1 · 2016-11-22T20:46:20

$n = - 4$ $n = -4$

We need to convert this word problem into a mathematical problem.

Let's call "a number" $n$ $n$ .

Next "the sum" means to "add" or $+$ $+$ . So "the sum of a number and 5" can be written as $n + 5$ $n + 5$ using $n$ $n$ to replace "a number".

Then "6 times" this means to multiply this by $6$ $6$ giving:

$6 \times (n + 5)$ $6 xx (n + 5)$

And this "is" or "equals or " $=$ $=$ " $6$ $6$ which we can write as;

$6 \times (n + 5) = 6$ $6 xx (n + 5) = 6$

We can solve for $n$ $n$ by first dividing each side by $6$ $6$ :

$\frac{6 \times (n + 5)}{6} = \frac{6}{6}$ $(6 xx (n + 5))/6 = 6/6$

$(cancel(6) xx (n + 5))/cancel(6) = cancel(6)/cancel(6)$

$n + 5 = 1$

Finally, we subtract $5$ from each side of the equation to solve for $n$ :

$n + 5 - 5 = 1 - 5$

$n + 0 = -4$

$n = -4$