Brianna went to a carnival. She played five games and rode six rides. Justin went to the same carnival and played seven games and rode eight rides. If Brianna paid $11.75 and Justin paid $16.15, how much did one game cost to play? $0.50 $1.45 $1.25 $1.50Urgent!

Answer:   $1.45Step-by-step explanation:To answer the question, we would like to have an equation that has the cost of a game as its only variable. That is, we would like to eliminate the cost of a ride from the system of equations we must write.Let g and r represents the costs of a game and a ride, respectively. Then the expenses of the two carnival-goers can be described by ...   5g +6r = 11.75   7g +8r = 16.15We note that the ratio of coefficients in the variable (r) that we want to eliminate is 3:4. So we can subtract 4 times the first equation from 3 times the second to eliminate that variable.   3(7g +8r) -4(5g +6r) = 3(16.15) -4(11.75)   g = 1.45 . . . . . . simplifyThe cost to play one game was $1.45.