Question

Solve the problem in the example. Show your work.

Answer 1

You would have to divide 195 by both 15 and 12 to get both hours mowing and hours babysitting.

195 / 15 = 13

195 / 12 = 16 1/4

now if you put the answers in place of b and m you would get (15*13) + (12*16.25) = 195

Answer: 195

Conclusion: Sophia gets over payed

Answer 2

Step-by-step explanation:

One hour of babysitting costs $15          One hour of mowing costs $12

Let the of hours babysitting be x,            Let the hours of mowing be y,

                                                                   $195÷2=$97.5

$195-$49.5 = $145.5                                 $97.5 - 12 X 4 =$49.5

∴ Total money Sophia got for                     ∴ Total money Sophia got

    baby sitting is $145.5.                                         mowing is $49.5.

Now,                                                            Now,      

15 X x = $145.5                                           $12 X y = $49.5

       x = $\frac{145.5}{15}$                                                          y = $\frac{49.5}{12}$

       x = 9.7                                                            y = 4.125

∴ Sophie babysitted for                        ∴ Sophia mowed for 4.125 hours.

     9.7 hours.

Note:

You can check if your answer is correct like this:

Multiply 9.7 by $15 ( you will get $145.5 as the answer)

Then, multiply 4.125  by $12 (you will get $49.5 as the answer)

Lastly, add the answers together.($145.5 + $49.5 which will give the answer

                                                                                                            as $195)

And boom you got the same answer as written in the question.

It's just a small trick to check if your answer is correct.

I hope this will help you!!!