Respuesta :
Answer:
Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.
Step-by-step explanation:
Let the Cost of each large soft drink be x.
Also Let the Cost of each Large bucket of popcorn be y.
Number of people = 3
Money Spend on popcorn and soft drink = $22.50
Hence we can say that;
[tex]3x+3y=22.50 \ \ \ \ equation \ 1[/tex]
Next week three people traveled again.
Each ticket was bought = $8.00
Number of tickets bought = 3
Money spend on tickets = [tex]8\times3 = \$24[/tex]
Total return trip = $37.50
Also they each get a large soft drink, but they share one large bucket of popcorn
Cost of Soft drink = 3x
Cost of popcorn = y
Now Total return trip is equal to sum of Money spend on tickets and Cost of soft drink and Cost of popcorn.
Hence equation can be framed as;
[tex]24+3x+y=37.50\\3x+y=37.50-24\\3x+y = 13.50 \ \ \ \ eqaution \ 2[/tex]
Now Subtracting equation 2 from equation 1 we get;
[tex](3x+3y)-(3x+y)=22.50-13.50\\\\3x+3y-3x-y=9\\\\2y= 9\\\\y=\frac{9}{2}=\$4.50[/tex]
Now substituting the value of y in equation 1 we get;
[tex]3x+3y=22.50\\\\3x+3\times4.50=22.50\\\\3x+13.50=22.50\\\\3x=22.50-13.50\\\\3x= 9\\\\x=\frac{9}{3}=\$3.00[/tex]
Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.
