42.) the sum of a number and one-third of the number is equal to the sum of twice the number and ten. find the number??????????

- anonymous

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- anonymous

n+1/3n=2n+10 solve for n

- anonymous

idk how to solve it w/the 1/3??? what do I do first on left side????

- anonymous

You could start by finding the common denominator for all terms.

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## More answers

- anonymous

6?

- anonymous

6 or 20?

- anonymous

Out of those two 6 would work the best, but 3 would probably your best choice.

- anonymous

how would iine?????

- anonymous

You multiply each of your terms by 3/3 except for your 1/3n term because it already has a denominator of 3.

- anonymous

3/3 multiply by 2n and 10 too?????????

- anonymous

\[3/3(n+1n/3=2n+10)\]
\[3n/3 + n/3=6n/3+30/3\]

- anonymous

Exclude the 1n/3 term in that distribution

- anonymous

N=6n+10

- anonymous

that's what I got, is it correct??

- anonymous

Could you show me how you got that?

- anonymous

3n/3+n/3=30/3
N=10

- anonymous

Where is your 2n term?

- anonymous

N=10+6n

- anonymous

so the number is 10+6n ?????

- anonymous

????????

- anonymous

3n/3+n/3=6n/3+30/3
We could distibute a 3 to each of these terms so that they are no longer fractions.
3(3n/3+n/3=6n/3+30/3)
3n+n=6n+30

- anonymous

and that equation might be easier to solve

- anonymous

I got N=2n+30

- anonymous

Can I ask where your getting the "N" in N=2n+30

- anonymous

4n-4n=N

- anonymous

Does N represent zero?

- anonymous

oh yeah my bad/:

- anonymous

If that is the case then your previous response "N=2n+30" is correct but still needs to be solved

- anonymous

the number is 15 ????

- anonymous

Indeed :)

- anonymous

mind helping w/afew more pleaseeee???????????????

- anonymous

How many?

- anonymous

2-4 dif but similar on back

- anonymous

Sure

- anonymous

2.) separate 104 into two parts so that one part is 18 more than the other part. find each part???? @Tauist628

- anonymous

104 split in two
n+18 and n
so 2n+18=104, solve for n

- anonymous

I got N=43

- anonymous

I got N=43 @Tauist628

- anonymous

Correct :)

- anonymous

but theres more than one unknown how do I find the 2nd unknown???? @Tauist628

- anonymous

If you know what N is, then you should substitute it in for the equation of your 2nd unknown, N+18

- anonymous

thanks

- anonymous

You're welcome.

- anonymous

3 last qustions????

- anonymous

Do they all have the same basic concept for solving them?

- anonymous

yeah but 10-13 look harder

- anonymous

Let's work them out together and such

- anonymous

10.)the sm of the ages of Ruth and her mother is 75 years. The difference in their age is 29 years. how old is each??????
11.) The sum of $180 was divided amoung 3 people so that the second person recievd $6 less than twice as much as te first, and the third received $7 more than the second. how much did each person receive?????
12.) The sum f $305 was divided among 3 people so that the secon received $4 ess than twice as much as the first, and the thirdrecieved $23 more than the second. HOW much did each person receive??????
8.) Stanley worked 6 more than twice as many hou as Kathleen did.. How many hours did each work if tgether they worked 69 hours??????

- anonymous

Well....

- anonymous

10.) A system of equations should be set up. r+m=75 and m-r=29

- anonymous

what number??????

- anonymous

Solve for either variable
Ex r=75-m or m=75-r for your first equation and m=29+r or r=m-29

- anonymous

what number?????? @Tauista628

- anonymous

@Tauist628

- anonymous

What do you mean "what number"?

- anonymous

what number was u even talking about??? ur last comment?

- anonymous

OH, which question? I was doing question #10

- anonymous

can u repeat whaever u said please?

- anonymous

:/

- anonymous

10.) A system of equations should be set up. r+m=75 and m-r=29
Solve for either variable Ex r=75-m or m=75-r for your first equation and m=29+r or r=m-29

- anonymous

how do u solve m=29+r?

- anonymous

You plug into the original equation
r+m=75 substitue "m" with (29+r)
r+(29+r)=75

- anonymous

solve for r

- anonymous

I got r^2=75/29 ???

- anonymous

You're not distributing the r, you're just adding
r+(29+r)=r+r+29

- anonymous

don't get it please help asap after this one I gtg

- anonymous

ilike help on 11 and 12 if u can???? tho,

- anonymous

r+r+29=75
2r+29=75
2r=46
r=23 Substitute this back in for your first equation m+r=75
m+23=75
m=52 so Ruth's age is 23 and her mother's age is 52

- anonymous

Could those be done at another time?

- anonymous

pleaseeee if u don't mind I could really use the help due tom. pleaseee

- anonymous

I thought you said you had to go.

- anonymous

yeah I got yelled at for being up at ten but have to finish my homework.. mind help????

- anonymous

Okay could you retype #11 so I won't have to scroll as much

- anonymous

11) the sumof $180 was divided among 3 people so that tcond perso received $6 less than twice as much as the first, and received $7 more than the secd. How much did each person receive?????

- anonymous

PLease help ASAP

- anonymous

I can't read the question very well. Which person is which?

- anonymous

second person $6

- anonymous

180=(2n-6)+(n-7)+n
180=4n-13 solve for n

- anonymous

N=48.25

- anonymous

now plug n in for your original equations
2n-6=2nd Person
n-7=3rd Person
n=1st Person

- anonymous

not understanding

- anonymous

2(48.25)-6=Money given to 2nd person
48.25-7=Money given to 3rd person
48.25=money given to first person

- anonymous

ok thanks.. can u scroll up for 12 please????

- anonymous

12.) The sum f $305 was divided among 3 people so that the secon received $4 ess than twice as much as the first, and the thirdrecieved $23 more than the second. HOW much did each person receive??????
Same concept
305=(2n-4)+(2n-4+23)+n
305=5n+15
290=5n solve for n then substitute back into your original equations
2(n)-4=Money given to 2nd person
2(n)-4+23=Money given to 3rd person
(n)=Money given to 1st person

- anonymous

lost????

- anonymous

290=5n
n=58 substitute back in
2(58)-4=Money to 2nd person
2(58)+19=Money to 3rd person
58=Money to 1st person
Also, don't forget to put your labels

- anonymous

thanks!!!!!!!!!!!

- anonymous

Next question?

- anonymous

that's it..thanks soooo much

- anonymous

I would like to advise to make sure for #11 that each person is getting the correct corresponding value as I wasn't able to accurately tell which was which.

- anonymous

ok...thanks!!!!!!

- anonymous

If you ever need anymore help feel free to send a message and I'll help as much as I can. Bye

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