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an Adult ticket at an amusement park costs $24.95 and a child’s ticket costs $15.95. A group of 10 people paid $186.50 to enter the park. How many were adults

Respuesta :

Answer:

The number of adults in the group were 3

Step-by-step explanation:

Given as :

The cost for adult ticket in park = At = $ 24.95

The cost for child's ticket in park = Ct = $ 15.95

The number of people in group  = 10

The Total amount paid as tickets = $ 186.50

Let the number of adults = A

     The number of child = C

So, According to question

   A + C = 10

And A + C = 10    

Or,  24.95 A + 24.95 C = 249.5         .......1          

Or,   24.95 A + 15.95 C = 186.50        ......2

Solve the above equation 1 and 2

Or , ( 24.95 A + 24.95 C ) - ( 24.95 A + 15.95 C ) = 249.5 - 186.50

Or,    9 C = 63

∴          C = [tex]\frac{63}{9}[/tex] = 7

I,e Number of child's in group = 7

So  Number of Adults in group = 10 - 7 = 3

Hence The number of adults in the group were 3   Answer

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