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The Jurassic Zoo charges $15 for each adult admission and $6 for each child. The total bill for the 185 people from a school trip was $1569. How many adults and how many children went to the zoo?

Respuesta :

Answer:

The  number of adults visiting the zoo =  51

The number of children visiting the zoo =  134

Step-by-step explanation:

Let us assume the number of adults  going to the zoo = m

Total number of people visiting the zoo = 185

SO, the number of children visiting the zoo = 185 - m

Now, the cost of 1 adult ticket = $15

So, the total cost of m adult tickets = m x ( cost of 1 adult ticket)

= m  x ( $15)  = 1 5 m

And, the cost of 1 children ticket = $6

So, the total cost of ( 185 - m) adult tickets

= ( 185 - m) x ( cost of 1 children ticket)   = (185 - m )  x ( $6)  = 6( 185 - m)

Also, the combined cost of all tickets  = $ 1569

⇒ The cost of ( Adult's tickets  + Children's Tickets)  = $1569

or,  15 m + 6( 185 - m)  = $1569

or, 15 m + 1110 - 6 m = 1569

or, 9 m =  459

⇒ m = 459/9 =  51 , or m = 51

Hence the  number of adults visiting the zoo = m = 51

The number of children visiting the zoo = 185 -m =  134

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