How do I set up this problem? If a person works 35 hours/week and earns $450, how much will he get for working 50 hours? 35/450 = 50/x ?

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How do I set up this problem? If a person works 35 hours/week and earns $450, how much will he get for working 50 hours? 35/450 = 50/x ?

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## Answers

There are multiple ways to set up any proportion problem. Yours works.

Personally, I like the variable in the numerator. It saves a step in the solution process. Just multiply by the denominator number to solve.

.. x/450 = 50/35 ... ratio of dollars = ratio of hours

.. x/50 = 450/35 ... dollars per hour = dollars per hour

You can also put the variable in the denominator.

.. 35/450 = 50/x ... hours per dollar = hours per dollar (your version)

.. 450/x = 35/50 ... ratio of dollars = ratio of hours

After you work a few of these, you will recognize the solution is always

.. x = 50*450/35 ... hours * (dollars/hour) = dollars

50/35 x $450

10/7 x $450

$4500 / 7 = $ 643_____to nearest whole number

x/50 = 450/35

--->x = 450*50/35 = ...calculator