Question

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

$1.50
Urgent!

Answer 1

$1.45

Explanation:

Answer 2

$1.45

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.