# Algebra

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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

• Algebra -

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

child's ticket is 13.53

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