SOLUTION: Clarence and Stephan went to the amusement park. Clarence rode the water slide 3 times and the roller coaster 3 times for a total $17.70. Stephan rode the water slide 2 times and

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Clarence and Stephan went to the amusement park. Clarence rode the water slide 3 times and the roller coaster 3 times for a total $17.70. Stephan rode the water slide 2 times and      Log On


   

Question 279590: Clarence and Stephan went to the amusement park. Clarence rode the water slide 3 times and the roller coaster 3 times for a total $17.70. Stephan rode the water slide 2 times and the roller coaster 3 times for a total of $15.54. How much did each ride cost?
The scenario above can be represented by a system of equations. Show representations that can be used and respond to the question:

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Clarence and Stephan went to the amusement park. Clarence rode the water slide 3 times and the roller coaster 3 times for a total $17.70. Stephan rode the water slide 2 times and the roller coaster 3 times for a total of $15.54. How much did each ride cost?
The scenario above can be represented by a system of equations. Show representations that can be used and respond to the question:
let the water slide charge be x / ride
let the roller coaster charge be y / ride

3x+3y=17.7-----------------1
2x+3y=15.54----------------2
Substract equation 2 from 1
x=2.16
substitute the value of x in equation 1
y=3.74