
a.
The better deal for the family planning to spend 3 days at the park.
a.

Answer to Problem 51PPS
Explanation of Solution
Given:
Tickets to the Family Water Park are $25.99 per day. Park offers a season pass for $89.99, which includes a 15% discount at Riverfront Pizza & Treats. And a Greatest Value season pass is offered for $119.99 with some extra benefits of a 20% discount at Riverfront, a souvenir cup with free refills and five meal vouchers.
Calculation:
At a rate of $25.99 per day, the total cost of the tickets for 3 days would be
Let’s assume that each meal voucher is worth $5. So the cost of 5 meal vouchers would be $25. And there will be the additional Riverfront cost.
So if the family is planning to spend less than $80.13 at Riverfront, then the standard tickets are the best deal for his family.
b.
The explanation for the solution process.
b.

Explanation of Solution
Given:
Tickets to the Family Water Park are $25.99 per day. Park offers a season pass for $89.99, which includes a 15% discount at Riverfront Pizza & Treats. And a Greatest Value season pass is offered for $119.99 with some extra benefits of a 20% discount at Riverfront, a souvenir cup with free refills and five meal vouchers.
Calculation:
At a rate of $25.99 per day, the total cost of the tickets for 3 days would be
Let’s assume that each meal voucher is worth $5. So the cost of 5 meal vouchers would be $25. And there will be the additional Riverfront cost r .
The only other discount offer is 15% and 20% discounts at Riverfront.
So, for the standard ticket, the total cost of 3 days holiday would become,
And if they choose the Season pass, then the total cost of 3 days holiday will be,
And if they choose the Greatest Value pass, then the total cost of 3 days holiday will be,
Now on solving (1) and (2), it gives
Similarly, on solving (1) and (3), it gives,
And on solving (2) and (3), it gives
So, if the family is planning to spend more than $100 at Riverfront, then they should take the Greatest Value pass.
But, if the family planning to spend between $80.13 and $100 at the Riverfront, then they should go for the season pass.
But if the family is planning to spend less than $80.13 at the Riverfront, then the family should get the standard tickets.
c.
The assumptions would one make.
c.

Explanation of Solution
Given:
Tickets to the Family Water Park are $25.99 per day. Park offers a season pass for $89.99, which includes a 15% discount at Riverfront Pizza & Treats. And a Greatest Value season pass is offered for $119.99 with some extra benefits of a 20% discount at Riverfront, a souvenir cup with free refills and five meal vouchers.
Calculation:
In order to decide the best deal for the family 3 days visit to park, the free refills were ignored as it won’t cost too much. And they plan to eat 5 meals regardless of the vouchers.
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