Word problem that has to do with ratio's! Please help! :(

[escobar2016]

A set of gears has a ratio of driver to driven teeth of 36 to 252. How many teeth does the driven gear need, if a gear set of the same ratio has a driving gear with 42 teeth?

if you can show work that would be greatly appreciated!!
Sadly there is no more further explanation to this question that is why I feel very confused!

 

[Deleted member 4993]

A set of gears has a ratio of driver to driven teeth of 36 to 252. How many teeth does the driven gear need, if a gear set of the same ratio has a driving gear with 42 teeth?

if you can show work that would be greatly appreciated!!
Sadly there is no more further explanation to this question that is why I feel very confused!

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

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[escobar2016]

So far my understanding is 36 is the number of value and 252 is the number contained within that number so it is written out
36:252
and Then I think this is written out as 36:252=14:_____
and I don't understand how I'm suppose to solve what 14: goes into blank
I'm sorry if I seem a little slow this problem is driving me insane

 

[stapel]

A set of gears has a ratio of driver to driven teeth of 36 to 252. How many teeth does the driven gear need, if a gear set of the same ratio has a driving gear with 42 teeth?

if you can show work that would be greatly appreciated!!
Sadly there is no more further explanation to this question that is why I feel very confused!

To learn about gears and gear ratios, try here.

So far my understanding is 36 is the number of value and 252 is the number contained within that number so it is written out
36:252
and Then I think this is written out as 36:252=14:_____
and I don't understand how I'm suppose to solve what 14: goes into blank
I'm sorry if I seem a little slow this problem is driving me insane

I think you mean that you have been told that you need to set up and solve a proportion, but you missed the week or two when they were covering that topic, so you're asking for lesson instruction. (One worked example won't replace that chapter in the book, so doing this exercise for you obviously wouldn't be of much long-term assistance.)

To learn about ratios and proportions, please try here.

Once you have studied at least three lessons from the list, please attempt the exercise. If you get stuck, you can then reply with a clear listing of your thoughts and efforts so far. Thank you!

 

[HallsofIvy]

So far my understanding is 36 is the number of value and 252 is the number contained within that number so it is written out
36:252
and Then I think this is written out as 36:252=14:_____
and I don't understand how I'm suppose to solve what 14: goes into blank
I'm sorry if I seem a little slow this problem is driving me insane

The "a:b= c:d" (or more often "a:b::c:d") form is a business notation rather than a mathematics notation. In mathematics those would be written as fractions: \(\displaystyle \frac{a}{b}= \frac{c}{d}\).

Here, that would be \(\displaystyle \frac{36}{252}= \frac{14}{x}\) where x is the number you want in your blank. Get rid of the fractions by multiplying both sides of the equation by the denominators: \(\displaystyle (252x)\frac{36}{252}= (252x)\frac{14}{x}\) so that \(\displaystyle 36x= (14)(252)= 3528\). Finally, solve for x by dividing both sides by 36.