Answer:
$1.45
Step-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 = 16.15
We 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 . . . . . . simplify
The cost to play one game was $1.45.
