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Question

Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270?

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Solution

It is given that Ken saves 90% of his earnings.
Amount need to be saved =$270
Say, minimum amount need to be earned to save $270=$x
So, 90% of x=$270

90100×x=$270

90x=$270×100=$27000

x=$2700090

x=$300

So, he must earn $300 to save $270.

Ken earns $8 per hour for first 10hours
So, total earning in first 10hours=$8×10=$80

Now, the remaining amount need to be saved =$300$80=$220

So, number of more hours Ken need to work =remaining amount need to be savedhourly rate

=$220$10/hour=22hours

Now, Ken must work for at least 22 hours for the rest of the week.

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