Question 1204087: An amusement park sold 589 tickets on Monday. The ticket cost for an adult was 17.50, the ticket cost for the children was 9.00 and the ticket cost for senior citizen was 4.50. The revenue for Monday was 4,705. If the numb3r or adult tickets sold was four times as many as the number of children tickets sold, which of the following systems of equations can be used to find the number adult tickets sold, a, children tickets sold, c, and senior citizen sold, s?
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
Answer:
Explanation
a = number of adults
c = number of children
s = number of senior citizens
a+c+s represents the total number of people, which of course must match up with the 589 total tickets sold.
This is how the 1st equation is formed.
17.50a = revenue from the adults
9c = revenue from the children
4.50s = revenue from the senior citizens
17.50a+9c+4.50s = total revenue = 4705 dollars
This helps explain how the 2nd equation was formed.
The last equation a = 4c is from the phrasing "the number of adult tickets sold was four times as many as the number of children tickets sold"
So for example, if c = 10 children attended then there would be a = 4c = 4*10 = 40 adults.
Because a = 4c, we can replace each copy of 'a' with 4c in the 1st and 2nd equations.
It will mean we go from 3 variables to 2 variables to help reduce things a bit.
However, I'll leave the answer as 3 equations, as this is likely what your teacher is looking for.
Answer by ikleyn(52786)  (Show Source):
You can put this solution on YOUR website! .
When the question is "which of the following systems of equations can be used",
don't you think that several systems must be presented as possible options in the post to choose from ? ? ?
Don't you think ?
Don't you think ?
Don't you think ?
Otherwise, what you send is perceived as GIBBERISH.
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