Answer:
There were 27 student tickets sold and 35 parent tickets sold.
Explanation:
So first, we have to set up our equations!
s + p = 62 (s is the # of student tickets sold; p is the # of parent tickets sold; 62 is the total # of tickets sold)
1.75s + 3.75p = 178.50 (1.75s is the price for student tickets multiplied by the number of student tickets; 3.75p is the price for parent tickets multiplied by the number of parent tickets; 178.50 is the total amount of money)
Now! We are going to use elimination to solve for the variables, first for "s". To do this, we are going to multiply the first equation by -3.75!
-3.75 (s + p = 62)
-3.75s - 3.75 p = -232.50
+ 1.75s + 3.75p = 178.50
-2s = -54
s = 27
Next! We have to solve for "p" by multiplying the first equation by -1.75!
-1.75 (s + p = 62)
-1.75s - 1.75 p = -108.50
+ 1.75s + 3.75p = 178.50
2p = 70
p = 35
Lastly, we know that there were 27 student tickets sold, and 35 parent tickets sold.
Hope this Helps! :)
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-SGO