Question

Jerry goes to a theme park to ride the roller coasters the theme park charges an entry fee in addition to a fee for each roller coaster ride the went below represents the total price for two different numbers of roller coaster rides.
table
#of roller coaster rides
5. total price $35
11. total price $59

what are the prices in dollars for the entry fee and for each roller coaster ride explain your answer

Answer 1

Price for roller coaster ride:x
Prices for the entry fee:y

From table: for 5 rides total price is $35: 5x+y=35
for 11 rides total price is $59: 11x+y=59

5x+y=35⇒y=35-5x
11x+y=59

y=35-5x
11x+35-5x=59⇒6x=59-35

y=35-5x
6x=24⇒x=24/6

x=4⇒y=35-5*4
y=15

Price for entry fee is $15, and for each roller coaster ride $4.