Answer :
To determine the number of family members that visited the zoo, we need to set up a linear equation. Here's the breakdown of the costs:
1. General Admission Cost: This is [tex]$50 per person. If \( n \) represents the number of family members, the total cost for admission is \( 50n \).
2. Food Cost: This is $[/tex]18 per person. Therefore, the total cost for food is [tex]\( 18n \)[/tex].
3. Parking Cost: This is a fixed amount of [tex]$10 for the whole family.
Now, we set up the equation using these costs. The sum of all these costs gives us the total cost of the trip, which is $[/tex]218:
[tex]\[ 50n + 18n + 10 = 218 \][/tex]
Simplifying the equation:
- Combine the like terms for the costs per person:
[tex]\[ 50n + 18n = 68n \][/tex]
So the equation becomes:
[tex]\[ 68n + 10 = 218 \][/tex]
This equation will help you determine the number of family members, [tex]\( n \)[/tex], that went to the zoo.
1. General Admission Cost: This is [tex]$50 per person. If \( n \) represents the number of family members, the total cost for admission is \( 50n \).
2. Food Cost: This is $[/tex]18 per person. Therefore, the total cost for food is [tex]\( 18n \)[/tex].
3. Parking Cost: This is a fixed amount of [tex]$10 for the whole family.
Now, we set up the equation using these costs. The sum of all these costs gives us the total cost of the trip, which is $[/tex]218:
[tex]\[ 50n + 18n + 10 = 218 \][/tex]
Simplifying the equation:
- Combine the like terms for the costs per person:
[tex]\[ 50n + 18n = 68n \][/tex]
So the equation becomes:
[tex]\[ 68n + 10 = 218 \][/tex]
This equation will help you determine the number of family members, [tex]\( n \)[/tex], that went to the zoo.
