Question

Jada has $20 to spend on games and rides at a carnival. Games cost $1 each and rides are $2 each.

Which equation represents the relationship between the number of games, x, and the number of rides, y, that Jada could do if she spends all her money?
A. x + y = 20
B. 2x + y = 20
C. x + 2y = 20

Explain what each of the other two equations could mean in this situation. Think about what is the invisible number in front of a variable that does not have a coefficient (number in front).

Answer 1

The correct equation for Jada's situation is C. x + 2y = 20, representing $1 games and $2 rides within a $20 budget. Equations A and B represent alternative pricing scenarios.

Step-by-step explanation:

The equation that represents the relationship between the number of games, x, and the number of rides, y, that Jada could do if she spends all her $20 at a carnival is C. x + 2y = 20. This is because each game costs $1 and each ride costs $2. If we consider the number of games as x and the number of rides as y, then the total cost of games and rides would be $1 times the number of games (x) plus $2 times the number of rides (y), which equals to Jada's total budget of $20.

Looking at the other two equations, A. x + y = 20 could represent a scenario where both games and rides cost $1 each. The equation B. 2x + y = 20 could represent a scenario where games cost $2 each and rides cost $1 each. In both cases, the missing coefficient in front of a variable without one is considered to be 1, as any number multiplied by 1 is itself.