Question

SOLVE THE UNKNOWN N/4-7=8

Answer 1

Hey angie!
\(\Large \color{royalblue}{\text{Welcome to OpenStudy! :)}}\)


Is this what the problem looks like?\[\Large \frac{N}{4}-7\quad=\quad 8\]

Answer 2

YEA

Answer 3

Hmm so we want to try to get our N variable alone by itself.
Let's start by `adding` 7 to each side.\[\Large \frac{N}{4}-7\color{red}{+7}\quad=\quad 8\color{red}{+7}\]What does that do to the 7's on the left side of the equation?

Answer 4

NOT SURE

Answer 5

So on the left side we're subtracting 7 and adding 7.
That part a little confusing? hmm

Answer 6

Think about this example really quick:

So let's say we have 3 cookies.
If I subtract 1 cookie, we have 2 cookies.
If I then add 1 cookie, we have 3 cookies again right?

What we did was, 3-1+1=3
The minus 1 and plus 1 give us nothing when we combine them.

Answer 7

THIS IS MY FIRST TIME DOING THIS

Answer 8

ok :)

Answer 9

So let's just try to get through it, and see which parts are most confusing.\[\Large \frac{N}{4}-7+7\quad=\quad8+7\]So the -7 and +7 can combine to give us zero.\[\Large \frac{N}{4}\quad=\quad 8+7\]

Answer 10

What does 8 + 7 give you? :)

Answer 11

15

Answer 12

\[\Large \frac{N}{4}\quad=\quad15\]Ok good.

Answer 13

THANK YOU

Answer 14

To further solve for N, we need to first recognize that it's being `divided` by 4.
So to move the 4 to the other side, we must perform the inverse operation of `division`, which is `multiplication`.

Answer 15

Multiplying both sides by 4 gives us,\[\Large 4\cdot \frac{N}{4}\quad=\quad 15\cdot 4\]We have a 4 being multiplied `and` divided on the left side,
so they can "cancel out".\[\Large \cancel4\cdot\frac{N}{\cancel4}\quad=\quad15\cdot4\]Which simplifies to,\[\Large N\quad=\quad 15\cdot4\]

Answer 16

What does 15 times 4 give you? :o

Answer 17

60

Answer 18

Good. So that would be our final answer.\[\Large N\quad=\quad 60\]

Answer 19

I know it's a little tricky to get through :(
Ask questions if you're confused about any specific parts.

Answer 20

THANK YOU SO MUCH