the zoo number 2

Question

The Jurassic Zoo charges
?$9
for each adult admission and
?$7
for each child. The total bill for the
222
people from a school trip was
?$1616
How many adults and how many children went to the? zoo?  

Answer 1

Hi Jessica, let A represent the adults and let C represent the children. Then we can create two equations to solve.

 

Equation 1, number of adults and number of children:

 

A + C = 222

 

Equation 2, cost for adults and children:

 

9A + 7C = 1616

 

Solve the two equations:

 

  A  +   C =  222

9A  + 7C = 1616

--------------------

 

Multiply the first equation by -9 and add:

 

-9A  -  9C  =  -1998

 9A  + 7C  =   1616

-----------------------

 

       -2C    =  -382

 

Divide both sides by -2:

 

C = 191, or there were 191 children on the trip.

 

Substitute for C in the first equation:

 

A + 191 = 222

 

Subtract 191 from both sides:

 

A = 31, or there were 31 adults on the trip.

 

Solution:

 

191 child tickets.

 

31 adult tickets.

 

Questions?