Question

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??????????

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

6?

Answer 5

6 or 20?

Answer 6

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

Answer 7

how would iine?????

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

Exclude the 1n/3 term in that distribution

Answer 12

N=6n+10

Answer 13

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

Answer 14

Could you show me how you got that?

Answer 15

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

Answer 16

Where is your 2n term?

Answer 17

N=10+6n

Answer 18

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

Answer 19

????????

Answer 20

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

Answer 21

and that equation might be easier to solve

Answer 22

I got N=2n+30

Answer 23

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

Answer 24

4n-4n=N

Answer 25

Does N represent zero?

Answer 26

oh yeah my bad/:

Answer 27

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

Answer 28

the number is 15 ????

Answer 29

Indeed :)

Answer 30

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

Answer 31

How many?

Answer 32

2-4 dif but similar on back

Answer 33

Sure

Answer 34

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

Answer 35

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

Answer 36

I got N=43

Answer 37

I got N=43 @Tauist628

Answer 38

Correct :)

Answer 39

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

Answer 40

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

Answer 41

thanks

Answer 42

You're welcome.

Answer 43

3 last qustions????

Answer 44

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

Answer 45

yeah but 10-13 look harder

Answer 46

Let's work them out together and such

Answer 47

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??????

Answer 48

Well....

Answer 49

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

Answer 50

what number??????

Answer 51

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

Answer 52

what number?????? @Tauista628

Answer 53

@Tauist628

Answer 54

What do you mean "what number"?

Answer 55

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

Answer 56

OH, which question? I was doing question #10

Answer 57

can u repeat whaever u said please?

Answer 58

:/

Answer 59

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

Answer 60

how do u solve m=29+r?

Answer 61

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

Answer 62

solve for r

Answer 63

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

Answer 64

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

Answer 65

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

Answer 66

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

Answer 67

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

Answer 68

Could those be done at another time?

Answer 69

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

Answer 70

I thought you said you had to go.

Answer 71

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

Answer 72

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

Answer 73

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?????

Answer 74

PLease help ASAP

Answer 75

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

Answer 76

second person $6

Answer 77

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

Answer 78

N=48.25

Answer 79

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

Answer 80

not understanding

Answer 81

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

Answer 82

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

Answer 83

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

Answer 84

lost????

Answer 85

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

Answer 86

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

Answer 87

Next question?

Answer 88

that's it..thanks soooo much

Answer 89

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.

Answer 90

ok...thanks!!!!!!

Answer 91

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