Answer:
The price of adult's ticket is $ 17.73 And
The price of children's ticket is $ 13.85
Step-by-step explanation:
Given as :
The Prices for adult ticket and child ticket in the city zoo is different
Let the price for adult's ticket = $ A
And The price for child's ticket = $ C
Now, according to question :
3 A + 2 C = $ 80.89 And
2 A + 3 C = $ 77.01
Now solve the both equation
So, 2 × (3 A + 2 C) = 2 × $ 80.89 And
3 × (2 A + 3 C) = 3 × $ 77.01
I.e
6 A + 4 C = $ 161.78 And
6 A + 9 C = $ 231.03
Now, ( 6 A + 9 C ) - ( 6 A + 4 C ) = $ 231.03 - $ 161.78
Or, 5 C = $ 69.25
Or, C = $ 13.85
And Put the value of C in above any eq
6 A + 4 × ($ 13.85) = $ 161.78
Or, 6 A = $ 161.78 - $ 55.4
Or, 6 A = $ 106.38
∴ A =
Or, A = $ 17.73
Hence The price of adult's ticket is $ 17.73 And
The price of children's ticket is $ 13.85 Answer