Damian is working two summer jobs, making $12 per hour babysitting and making $6 per hour walking dogs. In a given week, he can work a maximum of 17 total hours and must earn a minimum of $150. If Damian worked 5 hours walking dogs, determine the maximum number of whole hours babysitting that he can work and still meet his requirements. Answer:

Question

Damian is working two summer jobs, making  $12 per hour babysitting and making  $6 per hour walking dogs. In a given week, he can work a maximum of 17 total hours and must earn a minimum of  $150. If Damian worked 5 hours walking dogs, determine the maximum number of whole hours babysitting that he can work and still meet his requirements. Answer:

Bytelearn · Accepted Answer

Calculate Earnings from Dog Walking: Damian earns $6 per hour walking dogs. If he worked 5 hours walking dogs, we need to calculate how much he earned from walking dogs. Calculation: $6/hour * 5 hours = $30Determine Remaining Amount: Now we need to determine how much more money Damian needs to make to reach the minimum of $150. Calculation: $150 - $30 = $120Calculate Maximum Babysitting Hours: Damian makes $12 per hour babysitting. To find out the maximum number of hours he can babysit, we divide the remaining amount he needs to earn by his hourly rate for babysitting. Calculation: $120 / $12/hour = 10 hoursCalculate Maximum Hours Left: Damian can work a maximum of 17 hours in total. He has already worked 5 hours walking dogs. We need to calculate the maximum number of hours left for babysitting. Calculation: 17 hours - 5 hours = 12 hoursCalculate Maximum Hours: The calculation shows that Damian can work up to 12 hours babysitting, but he only needs to work 10 hours to meet his earnings goal. Therefore, the maximum number of whole hours babysitting he can work is the lesser of the two numbers. Calculation: Minimum(10 hours, 12 hours) = 10 hours

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