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Mandai Wildlife Reserve offers a 20% discount on all tickets on weekdays and 10% on weekends. Members are then given a further discount of $6 for every ticket bought. Mr Tan is a member and pays $192 for his family of 4 on a weekend. What is the price of each ticket on a weekend without any discount?

Question

Mandai Wildlife Reserve offers a 20% discount on all tickets on weekdays and 10% on weekends. Members are then given a further discount of 6foreveryticketbought.MrTanisamemberandpays6 for every ticket bought. Mr Tan is a member and pays 192 for his family of 4 on a weekend. What is the price of each ticket on a weekend without any discount?

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Solution

Step 1: Since Mr. Tan is a member, he gets a further discount of 6foreveryticketbought.So,for4tickets,hegetsadiscountof4∗6 for every ticket bought. So, for 4 tickets, he gets a discount of 4 * 6 = $24.

Step 2: Subtract this discount from the total amount Mr. Tan paid. So, 192−192 - 24 = $168. This is the amount Mr. Tan paid after the 10% weekend discount.

Step 3: To find the total cost before the 10% discount, we need to understand that the 168represents90168 represents 90% of the original price (because it was given a 10% discount). So, we can set up the equation 0.9X = 168, where X is the original price.

Step 4: Solve for X by dividing both sides of the equation by 0.9. X = 168/0.9=168 / 0.9 = 186.67. This is the total cost of 4 tickets without any discount.

Step 5: To find the price of each ticket without any discount, divide the total cost by the number of tickets. So, 186.67/4=186.67 / 4 = 46.67.

So, the price of each ticket on a weekend without any discount is $46.67.

This problem has been solved

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