One location of The Smart Growing Preschool has 22 children in the primary class and 18 children in the toddler class. The other location has 30 children in the primary class and 15 children in the toddler class. The revenue at the first location is $24,250, and the revenue at the second location is $27,150. How much do parents pay for a primary child and a toddler child every month?

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JeanaShupp JeanaShupp · Answer 1 · 2019-04-12T20:59:00+02:00

Answer: Parents pay $595 for primary child and $620 for toddler child every month.

Step-by-step explanation:

Let x represents the amount paid by the parents for a primary child and y represents the amount paid by the parents for a toddler child every month.

According to the question, we have the following system of equations:-

[tex]22x+18y=24250..........(1)\\\\30x+15y=27150......................(2)[/tex]

Divide 2 on both sides in equation (1) and 15 on both sides on equation (2), we get

[tex]11x+9y=12125..................(3)\\\\2x+y=1810\\\Rightarrow y=1810-2x.................(4)[/tex]

Substitute the value of y in (3), we get

[tex]11x+9(1810-2x)=12125\\\\\Rightarrow\ 11x+16290-18x=12125\\\\\Rightarrow\ 7x=4165\\\\\Rightarrow\ x=595[/tex]

Substitute value of x in (4), we get

[tex]y=1810-2(595)=620[/tex]

Hence, Parents pay $595 for primary child and $620 for toddler child every month.