Hector and his family are heading to Tiny Acres Mini-Golf. They plan to purchase the group package. With the group package, the cost per person is $2 less than the normal cost for an individual. There are 5 people in Hector's family. His mom called ahead and found that the total cost for the family will be $35. What is the normal cost for an individual?

Question

Hector and his family are heading to Tiny Acres Mini-Golf. They plan to purchase the group package. With the group package, the cost per person is $2 less than the normal cost for an individual. There are 5 people in Hector's family. His mom called ahead and found that the total cost for the family will be $35. What is the normal cost for an individual?

Answer 1

Let's say the normal cost for an individual is 'x'.

According to the given information, the cost per person with the group package is $2 less than the normal cost, so it is x - $2.
There are 5 people in Hector's family, so the total cost for the family will be 5 * (x - $2).
We are given that the total cost for the family is $35, so we can set up the following equation:
5 * (x - $2) = $35
Simplifying the equation, we get:
5x - $10 = $35
Adding $10 to both sides, we get:
5x = $45
Dividing both sides by 5, we get:
x = $9
Therefore, the normal cost for an individual is $9.

Answer 2

Let's assume the normal cost for an individual is $x.

According to the given information, the group package cost per person is $2 less than the normal cost for an individual, so the cost per person with the group package is $(x-2).

There are 5 people in Hector's family, so if the normal cost for an individual is $x, then the total cost for Hector's family without any discount would be 5x.

However, the total cost for the family is $35 according to the information given, so we can set up the equation:

5(x-2) = $35

Let's solve this equation:

5x - 10 = $35

Adding 10 to both sides:

5x = $45

Dividing both sides by 5:

x = $9

Therefore, the normal cost for an individual is $9.

Answer 3

To find the normal cost for an individual, we can follow these steps:

Step 1: Let's assume the normal cost for an individual is "x" dollars.
Step 2: According to the problem, with the group package, the cost per person is $2 less than the normal cost for an individual. So, the cost per person would be (x - $2) dollars.
Step 3: Since there are 5 people in Hector's family, the total cost for the family would be (5 * (x - $2)) dollars.
Step 4: From the given information, we know that the total cost for the family is $35. So, we can set up an equation:
5 * (x - $2) = $35
Step 5: Now, we can solve this equation for x:
5x - 10 = $35
5x = $35 + $10
5x = $45
x = $45 / 5
x = $9

Therefore, the normal cost for an individual is $9.