Question #5 - Solve the equation.
SpongeBob and Patrick went to a party at the Pineapple House. They each got a ticket for the Roller Coaster. SpongeBob got a Krabby Patty, and Patrick got a Krusty Krab Pizza. SpongeBob had a certificate for $7 off the cost. Patrick paid the rest, which came to $15. Each Roller Coaster ticket was $3, and a Krabby Patty was $5. What was the cost for Krusty Krab Pizza?
Let's denote the cost of the Krusty Krab Pizza as 'x'.
The cost of SpongeBob's ticket for the Roller Coaster is $3, and he also had a $7 discount, so SpongeBob paid 3 - 7 = -$4 for the ticket and the Krabby Patty.
The total cost that Patrick paid for the ticket and the pizza was $15, so we can set up the equation:
x + 3 = 15 - 4
x + 3 = 11
Subtracting 3 from both sides of the equation, we get:
x = 11 - 3
x = 8
Therefore, the cost of the Krusty Krab Pizza was $8.
Let's make an equation to represent the given information.
Let x be the cost of the Krusty Krab Pizza.
According to the equation, SpongeBob paid for the Krabby Patty, which cost $5, with a $7 certificate. Therefore, SpongeBob's payment can be represented as 5 - 7 = -2.
Patrick paid the rest, which was $15. So Patrick's payment can be represented as 15 - (3 + x) = 15 - 3 - x.
Since SpongeBob paid for his Krabby Patty with the certificate, we can say that Patrick paid for both the Roller Coaster ticket and the Krusty Krab Pizza. So, SpongeBob and Patrick's combined payments can be represented as -2 + (3 + x) = 3 + x - 2 = x + 1.
From the given information, we know that the combined payments are equal to $15. So, x + 1 = 15.
To solve for x, we need to subtract 1 from both sides of the equation:
x + 1 - 1 = 15 - 1
x = 14
Therefore, the cost for the Krusty Krab Pizza (x) is $14.
To solve this problem, we need to find the cost of the Krusty Krab Pizza.
Let's start by finding the cost of SpongeBob's ticket after the $7 discount. We know that each Roller Coaster ticket is $3, and SpongeBob got a $7 discount, so we can set up an equation:
Cost of SpongeBob's ticket = $3 - $7
Simplifying this equation, we get:
Cost of SpongeBob's ticket = -$4
Since it doesn't make sense to have a negative cost, we can conclude that SpongeBob's ticket was free.
Next, we need to find the total cost of Patrick's purchase, which includes the cost of his Roller Coaster ticket and the Krusty Krab Pizza.
Total cost = Cost of Roller Coaster ticket + Cost of Krusty Krab Pizza
We are given that the total cost of Patrick's purchase was $15. Let's denote the cost of the Krusty Krab Pizza as 'x'. Then we can set up an equation:
$15 = $3 + x
Simplifying this equation, we get:
x = $15 - $3
x = $12
Therefore, the cost of the Krusty Krab Pizza is $12.