SOLUTION: Afternoon, thank you in advance...HELP!!! I'm a mom trying to remember how to do this. I gave up. been at it for more than 35 mins...Son is being asked to find the value of n. 3

Algebra ->  Algebra  -> Distributive-associative-commutative-properties -> SOLUTION: Afternoon, thank you in advance...HELP!!! I'm a mom trying to remember how to do this. I gave up. been at it for more than 35 mins...Son is being asked to find the value of n. 3      Log On

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Question 272451: Afternoon, thank you in advance...HELP!!! I'm a mom trying to remember how to do this. I gave up. been at it for more than 35 mins...Son is being asked to find the value of n.
352 X 75 = (nX75)+ (50X75) + (2X75)
THANK YOu THANK YOU THANK YOU
Answer by Edwin McCravy(8893) About Me  (Show Source):
You can put this solution on YOUR website!
Afternoon, thank you in advance...HELP!!! I'm a mom trying to remember how to do this. I gave up. been at it for more than 35 mins...Son is being asked to find the value of n.
352 X 75 = (nX75)+ (50X75) + (2X75)
THANK YOu THANK YOU THANK YOU 

352%27%D7%2775%27=%27n%27%D7%2775%27%2B%2750%27%D7%2775%27%2B%272%27%D7%2775

Using the distributive principle:


352%27%D7%2775%27=%27%27%28%27n%27%2B%2750%27%2B%272%27%29%27%27%D7%2775

Add the 50 and the 2

352%27%D7%2775%27=%27%27%28%27n%27%2B%2752%27%29%27%27%D7%2775

Multiply both sides by 1%2F75

352%27%D7%2775%27%D7%271%2F75%27=%27%27%28%27n%27%2B%2752%27%29%27%27%D7%2775%27%D7%271%2F75

Put the 75%27%D7%271%2F75's in parentheses just for emphasis

352%27%D7%27%27%28%2775%27%D7%271%2F75%27%29%27%27=%27%27%28%27n%27%2B%2752%27%29%27%27%D7%27%27%28%2775%27%D7%271%2F75%27%29%27

Replace the 75%27%D7%271%2F75's by 1's

352%27%D7%271%27=%27%27%28%27n%27%2B%2752%27%29%27%27%D7%271

Since 1 is the identity for multiplication, any number multiplied by 1
gives the same number as the number multip[lied by it, so we can just
eliminate the %27%D7%271's:

352%27=%27%27%28%27n%27%2B%2752%27%29%27

We can eliminate those parentheses:

352%27=%27n%27%2B%2752

Subtract 52 from both sides:

352%27-%2752%27=%27n%27%2B%2752%27-%2752

Do the subtractions:

300%27=%27n%27%2B%270

300%27=%27n

Edwin