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Adam is working two summer jobs, making $9 per hour washing cars and $8 per hour walking dogs. Last week Adam earned a total of $116 and worked 6 more hours walking dogs than hours washing cars. Determine the number of hours Adam worked washing cars last week and the number of hours he worked walking dogs last week.

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haileydoudna

Answer:

Washing cars= 4 hours

Walking dogs= 10 hours

Step-by-step explanation:

You want to start by creating equations. So one thing we know is that he makes $9 an hour washing cars(x) and $8 walking dogs(y).

$9x+$8y=$116

The second Equation is based off of the hours worked. We know that he worked 6 hours more walking the dogs than he did washing cars, so we can take x(being the washing hours) and add 6 to it to equal y (the number of dog hours).

y=x+6

Now You plug what y equals into the first equation to solve for x.

9x+8(x+6)=116     Next distribute the 8 to each term.

9x+8(x)+8(6)=116

9x+8x+48=116     Add the like terms together (9x+8x)

17x+48=116         Subtract the 48 from both sides

     -48  -48

17x=68             Now divide by 17 on both sides.

______

17    17

x=4                 Finally we can take x and plug it back in to one of the equations in order to solve for y. I'm going to choose the second equation.

y=(4)+6

y=10

The number of hours for washing cars and walking dogs is 4 and 10 hours.

Calculation of the number of hours:

Here the equation should be

$9x+$8y=$116

And,

y=x+6

Now

9x+8(x+6)=116    

9x+8(x)+8(6)=116

9x+8x+48=116    

17x+48=116        

17x=68            

17    17

x = 4 hours            

Now

y=(4)+6

y=10

Therefore, The number of hours for washing cars and walking dogs is 4 and 10 hours.

Learn more about hours here: https://brainly.com/question/13373304

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