How many hours have to be spent doing a pet care job and how many hours babysitting in the following scenario:
You can work 20 hrs. a week, & you need to earn $175. Your babysitting job pays $8 per hr. & your pet care job pays $9.50/ hr.
You can babysit and earn $8 per hour and the pet care job pays $9.5 per hour. You have 20 hours in all to work. Let the time put in babysitting be B. So the time for the pet care job is 20 - B.
The total payment you receive is 8*B + 9.5*(20 - B). This has to make $175
So 8*B + 9.5*(20 - B) = 175
=> 8B + 190 - 9.5B = 175
=> 1.5B = 15
=> B = 15/1.5
=> B = 10
Therefore you can babysit for 10 hours and do the pet care job for 10 hours and earn $175.
The earning in 20 hours in a week is $175. The hourly rate of babysitting job is $8 per hour and the pet care job pays at $9.50.
Let the job of babysitting be done x hours. Then the payment for x hours is $8x.
Then the job of pet care is done for 20-x hours. The earning for 20-x hours is $(20-x)9.5.
So the total earning for both jobs for 20 hours is 8x+(20-x)*9.5. This is actually $175.
8x+(20-x)*9.5 = 175.
8x-9.5x +20*9.5 = 175.
-1.5x + 190 = 175.
-1.5x = 175-190 = -15.
x = -15/-1.5 = 10 hours. So you have to work around 10 hours of babysitting and 20-110= 910hours in pet care job.
This gets you 10*8+10*9.5 = $175.