Sylvester and Lin go to the amusement park Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cage for total of 60 dollars. Lin does 3 rounds of mini golf and 6 turns in the cages for total of 45. Write two equations to find the price of each activity.

Let the price of mini golf be $x Let the price of batting cage be $y Sylvester: Price for 5 rounds of mini golf = 5x Price for 4 rounds of batting cage =4y Total price paid =$60 Therefore the required equation is: 5x+4y=60 ----------(1) Lin: Price for 3 rounds of mini golf =3x Price for 6 rounds of batting cage =6y Total price paid = $45 Therefore the required equation is: 3x+6y=45 ----------(2) Let's use elimination method to find the prices. Multiply the first equation by 3 15x + 12y =180 -------(3) Multiply the second equation by 5 15x +30y=225 --------(4) Subtract equation (4) from equation (3) to eliminate x 15x+12y=180 15x+30y=225 -___-___-________ -18y = -45 y=45/18 =2.5 Substituting y in equation (1) 5x+4(2.5)=60 5x+10=60 5x=50 x=50/5 = 10 Price of mini golf =$2.5 Price of batting cage =$10.00