I am terrible at word problems and cannot figure this out

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A childcare company charges $435 per month for children who attend full time and $275 per month for children who attend part time. This month, they have 35 children registered for a total fee of $12,895. how many children are full time and how many children are part-time?

write and solve a system of equations 

Oct 13th, 2015

Thank you for the opportunity to help you with your question!

Let x be children who attend full time and y be children who attend part time.

we will have the following equations:

435x+275y=12895 .....i

x+y=35   .......ii

lets make x the subject with eq. ii

x=35-y

substitute x in eq i

435(35-y) + 275y =12895

15225 -435y+275y=12895

-435y+275y=12895-15225

-160y=-2330

y=14.5625 approximately 15

x=35-y=35-15=20

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 13th, 2015

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Oct 13th, 2015
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