Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entree fee of $12.00 and $0.25 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival T and Carnival Q to be the same? 25

Let, number of tickets required so that total cost is same is x.

Cost at carnival T :

T = 0.50x + 7.00         1)

Cost at carnival Q :

Q = 0.25x + 12.00       2)

For same cost , T = Q :

0.50x + 7 = 0.25x + 12

0.25x = 5

x = 20

Therefore, for same cost at both the carnival 20 tickets should be purchased.

Hence, this is the required solution.

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