Answer:
Adult Ticket cost $9.50 and Children Ticket cost $7.00
Step-by-step explanation:
Let single adult tickets cost "a" and single children ticket cost "c"
6 adult and 2 children ticket is $71, we can write:
6a + 2c = 71
Also,
3 adult and 4 children tickets cost $56.50, so we can write:
3a + 4c = 56.5
We multiply 2nd equation by "-2", to get:
-2 * (3a + 4c = 56.5) = -6a -8c = -113
Now we add this equation with 1st and eliminate a and solve for c:
6a + 2c = 71
-6a -8c = -113
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-6c = -42
c = -42/-6
c = 7
To find a, we can plug this into 1st equation and then get our answer.
6a + 2c = 71
6a + 2(7) = 71
6a + 14 = 71
6a = 57
a = 57/6
a = 9.5
Hence,
Adult Ticket cost $9.50 and Children Ticket cost $7.00
