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 ->  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


   



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(20064) 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%22%D7%2275%22=%22n%22%D7%2275%22%2B%2250%22%D7%2275%22%2B%222%22%D7%2275

Using the distributive principle:


352%22%D7%2275%22=%22%22%28%22n%22%2B%2250%22%2B%222%22%29%22%22%D7%2275

Add the 50 and the 2

352%22%D7%2275%22=%22%22%28%22n%22%2B%2252%22%29%22%22%D7%2275

Multiply both sides by 1%2F75

352%22%D7%2275%22%D7%221%2F75%22=%22%22%28%22n%22%2B%2252%22%29%22%22%D7%2275%22%D7%221%2F75

Put the 75%22%D7%221%2F75's in parentheses just for emphasis

352%22%D7%22%22%28%2275%22%D7%221%2F75%22%29%22%22=%22%22%28%22n%22%2B%2252%22%29%22%22%D7%22%22%28%2275%22%D7%221%2F75%22%29%22

Replace the 75%22%D7%221%2F75's by 1's

352%22%D7%221%22=%22%22%28%22n%22%2B%2252%22%29%22%22%D7%221

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 %22%D7%221's:

352%22=%22%22%28%22n%22%2B%2252%22%29%22

We can eliminate those parentheses:

352%22=%22n%22%2B%2252

Subtract 52 from both sides:

352%22-%2252%22=%22n%22%2B%2252%22-%2252

Do the subtractions:

300%22=%22n%22%2B%220

300%22=%22n

Edwin