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An amusement park charges admission plus a fee for each ride. Admission plus two rides costs $10. Admission plus five rides cost $16. What is the charge for admission and the cost of a ride?

 Jan 23, 2020
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An amusement park charges admission plus a fee for each ride. Admission plus two rides costs $10. Admission plus five rides cost $16. What is the charge for admission and the cost of a ride?

 

A  =  cost of admission

R  =  cost of one ride

 

                                                A + 2R  =  10     (1)   

                                                A + 5R  =  16     (2)    

subtract (1) from (2)                       3R  =   6

divide both sides by 3                       R  =   2              cost of one ride is $2

 

plug value of R into (1)             A + (2)(2)  =  10

                                                  A + 4  =  10                  

subtract 4 from both sides                A  =   6               cost of admission is $6  

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 Jan 23, 2020

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