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 $28$ .

$28x=420$

$x=420/28$

$x=15$