Solving for the unknown variable...again

Solving for the unknown variable...again

You may see problems like the following on the exam.  If you can do this problem, you'll be able to do a lot that are similar.  The key is knowing how to set up ratios and how to solve for an unknown variable.

A carpenter can make 5 tables in 13 hours. If he works at the same rate, which of these equations shows the number of tables (y) he can make in x hours?  

Try it out before seeing the solution below.

Solution:

The ratio is tables to hours and you can set up a fraction like the following.

tables⁄hours 5 tables⁄13 hours   

5⁄13 = y⁄x

Now solve for y....cross multiply and divide

5x = 13y

5x⁄13 = y 

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