Question

A salesperson's weekly paycheck is 10% more than a second salesperson's paycheck. The two paychecks total $1075. Find the amount of each paycheck. (Round your answers to the nearest cent.)

Answer 1

originally without the 10% extra, both have 100%. since the question stated that the first salesperson have 10% more, the percentage of his paycheck will be a total of 110%. on the other hand, the second salesperson will have only 100%. the question then stated that when both oaychecks are added together, it will give a total of $1075.

110% + 100% represents $1075
210% represents $1075

so now you need to find what is 1 %
1% represents $(1075/210)

the first salesperson have 110%, so you
(1075/210) × 110% = $563. 0952381
round off to the nearest cent so it will become $563.10
the first salesperson paycheck is $563.10

the second salesperson paycheck 100%. so you....
(1075/210) × 100% = $511.9047619
=$511.90
therefore the second salesperson paycheck is $511.90.