Respuesta :
There were 3 people in the group.
As mentioned in the question statement, a group of people were ordering admission tickets for Discover Cove and the total cost for the order is $485.04.
The Admission Price is $144.00 per person, with a Tax rate of 6.5% of admission total while the tax-free Resort Fees and Service Fees are $4.99 per person and $9.99 per order respectively.
Let us assume that there were "x" people in the group. We will now form a Linear Equation of single variable with "x", based on the condition mentioned in the question statement, and solving for "x", we will obtain our desired answer, i.e.,
[tex](144*x)+(\frac{6.5}{100}*144x)+(4.99*x)+9.99=485.04\\ or, 144x+(0.065*144x)+4.99x=(485.04-9.99)\\or, 144x+9.36x+4.99x=475.05\\or, 158.35x=475.05\\or, x=\frac{475.05}{158.35}\\ or, x = 3[/tex]
Thus, there were 3 people in the group.
- Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.
- Variable: In Mathematics, a variable is a symbol or a representative of a value, which is unknown.
To learn more about Linear Equations, click on the link below.
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