At the pet store ruth bought 5 rawhide bones and 3 dog collars.She gave the cashier 90$ and received $6 in chage.If a dog collar costs 3 times as much as a bone find the cost of one dog collar.
My answer is 63 am i right if not please show me why and how.
Your answer is obviously wrong. She bought 3 collars. If she paid 63 for one collar -- then she would have paid 189 for three.
so is the answer 21?
Let's check:
(3 * 21) + (5 * 7) = 98
Nope -- you're getting closer.
is it 18.
Let's check.
(3 * 18) + (5 * 6) = 84
Right!!!
my mother dosen't under how you get 18 can you please explain.
I don't know. I found the right answer by trial and error.
Lidia-- I'm not a math teacher -- so please don't include my name on your future posts.
cost of bone --- x
cost of collar --- 3x
5 bones + 3 collars = 84
5x + 3(3x) = 84
14x = 84
x = 84/14 = 6
cost of bone = $6
cost of collar = 3(6) = $18
Thanks, Reiny!
I hope Lidia sees your answer.
To find the cost of one dog collar, we can start by setting up a system of equations based on the given information.
Let's assume the cost of one rawhide bone is 'b' dollars. Since a dog collar costs 3 times as much as a bone, the cost of one dog collar would be '3b' dollars.
According to the given information, Ruth bought 5 rawhide bones and 3 dog collars for a total cost of $90. We can represent this as the equation:
5b + 3(3b) = 90
Simplifying this equation gives us:
5b + 9b = 90
14b = 90
To find the cost of one rawhide bone ('b'), we divide both sides of the equation by 14:
b = 90/14
b ≈ 6.43
Therefore, the cost of one rawhide bone is approximately $6.43.
To find the cost of one dog collar, we can substitute the value of 'b' in '3b':
Cost of one dog collar = 3(6.43)
Cost of one dog collar ≈ $19.29
So, the cost of one dog collar is approximately $19.29.
Therefore, your answer of $63 is not correct. The correct answer is approximately $19.29.