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basic word problem help

ok, its been a long time since i've done algebra (20 years). Here is the problem:
 
Woman sells dog leashes and collars on the weekends at dog shows. One weekend she sold a total of 34 leashes. The number of leashes she sold was two less than three times the number of collars. How many of each did she sell?
 
This is how I solved it=
 
3 ( X - 2 ) = 34
3X - 6 = 34
 
3x = 40
 
40 / 3 
 
X= 13
 
Leashes are 13- 2 = 11
 
Collars = 3 (11)
 
But that gets me 44 (when I add the two numbers back and not the 34). Where am I going wrong?
 
Thanx

Comments

Sorry, this is the question: Becky sells dog leashes and collars at agility shows every weekend. One weekend Becky sold 34 total items. The number of leashes she sold was two less than three times the number of collars. How many of each did Becky sell?

So I need to find the number of leashes and number of collars.
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3 Answers

34=3x-2
 
"Thirty four leashes (34) equals (=) two less than (-2) three times the number of collars (3x)"
 
Add two to both sides:
36=3x
Divide both sides by 3:
12=x
 
Check:
34=3(12)-2
34=36-2
34=34
 
Please contact me if you have any questions. Thanks!
 
let C=# of collars
34=3C-2
36=3C
12=C, the number of collars
34 is 2 less than 3x12 which equals 36
 
If you meant to say that 34 is the total number of leashes and collars sold, then we do the problem differently.
 
L+C=34
L+2=3C
L=3C-2
substitute 3C-2 for L in the first equation
3C-2+C=34
4C-2=34
4C=36
C=9 collars
34-9=25 leashes
25 is 2 less than 3x9=27

Comments

I sm sorry I am still not seeing it. The number of leashes sold should be 2 less than 3 times the number of collars. Both numbers have to equal 34. 
so is the equation 34 (total leashes) = 3 x + x - 2
 
34 = 4 x - 2
 
34 + 2 = 
 
34 = 4 x
 
Divide by 4 which gives 9
 
9 = x   
 
Multiple 3 times 9 gives you 27 then subtract 2 which gives me 25
 
So 25 leashes
 
9 collars 
 ????
Q: Woman sells dog leashes and collars on the weekends at dog shows. One weekend she sold a total of 34 leashes. The number of leashes she sold was two less than three times the number of collars. How many of each did she sell?
 
A: The problems states that she sold a total of 34 leashes. It also says that the number of leashes sold was two less than three times the number of collars. 
 
Let L = number of leashes and C = number of collars. 
 
L is stated in the problem. L = 34.
 
L = 3C - 2.
 
Solving for C -> C = 1/3*(L + 2).
 
L = 34.
 
C = 1/3*(L + 2).
 
I think you misunderstood the problem. The number of leashes is already stated in the problem. The trick is to find the number of collars by forming an equation from the information given in the question.