Question

Your weekly paycheck is 30% less than your coworker's.

Your two paychecks total to $815. Find the amount of each paycheck. Round your answers to the nearest cent.

Answer 1

Your paycheck is $365, your coworker's $450

Step-by-step explanation:

We have 0.7x + x = 815 (0.7 because 1-(30/100)), where x is your coworker's paycheck.

Then, 1.7x = 815, x = 815/1.7 = 450. And finally, your paycheck is 815-450=365 (dollars)

Answer 2

Answers:

coworker earns = $479.41

you earn = $335.59

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Step-by-step explanation:

Your paycheck is 30% less than your coworkers, so the amount you earned is 70% of what they earned. This is because 30% + 70% = 100%. Or you can think of it like 100% - 30% = 70%.

x = amount your coworker earned

0.70x = amount you earned, i.e. 70% of x

The two amounts add to 815

x+0.70x = 815

1.70x = 815

x = 815/1.70

x = 479.411764705882 approximately

x = 479.41 dollars is what your coworker earned

0.70x = 0.70*479.41 = 335.587 = 335.59 dollars is what you earned

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Check:

30% of 479.41 = 0.30*479.41 = 143.823 = 143.82

You earned $143.82 less compared to $479.41, so your earnings is 479.41 - 143.82 = 335.59

Or the shortcut would be to say 0.70*479.41 = 335.59 as mentioned earlier.

Then add the subtotals and we should get 815

coworker + you = 479.41 + 335.59 = 815

The answers are confirmed.