Question

Could someone please help me with this word problem?

The City Zoo has different admission prices for adults and children. When three adults and two children went to the zoo, the bill was $80.88. If two adults and three children got in for $76.47, then what is the price of an adult's ticket and what is the price of a child's ticket?

Thanks

Answer 1

adult ticket --- $x
child ticke ---- $y

3x + 2y = 80.88
2x + 3y = 76.47

1st times 3 ---> 9x + 6y = 242.64
2nd times 2 --> 4x + 6y = 152.94

subtract them:
5x = 89.7
x = 17.94

in 1st
3(17.94) + 2y = 80.88
2y = 27.06
y = 13.53

adult ticket is $17.94
child's ticket is 13.53