Mr Robert teaches for 5 3/5 hours every day at a local college. He gets paid after he has taught for at least 84 hours. After how many days will he get paid?

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Answer 1 · 2016-10-24T04:38:40

Mr Roberts will get paid after completing #15# days of work.

We shall represent the total number of days of work after which Mr Robert will be paid as #x#.

Since he works #5 3/5# hour a day and must accumulate 84 hours of work before being paid, we can write an equation:

#x xx 5 3/5=84#

Convert the mixed fraction into an improper fraction.

#x xx28/5=84#

#(28x)/5=84#

Multiply both sides by #5# and then divide both sides by #28#.

#28x=420#

#x=420/28#

#x=15#