a child at the birthday party was given $5 to spend at the arcade on games and rides. Each game costs $.25 and each ride costs $.50. Write an inequality for the number of games and rides a child can enjoy for $5. What is the maximum number of games or rides each child can can enjoy? I really don't understand it.
R = 2G
.25G + .50R = 5.00
Substitute 2G for R in the second equation and solve for G. Insert that value into the first equation to solve for R. Check by putting both values into the second equation.
To write an inequality, we need to determine the limitations on the number of games and rides the child can enjoy.
Let's assume the child can play "g" games and enjoy "r" rides, with each game costing $0.25 and each ride costing $0.50.
The total amount spent on games can be calculated by multiplying the cost of each game ($0.25) by the number of games played (g). Similarly, the total amount spent on rides can be calculated by multiplying the cost of each ride ($0.50) by the number of rides taken (r).
Therefore, the total amount spent on games and rides can be expressed as:
Total amount spent = ($0.25 * g) + ($0.50 * r)
Since the child spent $5, we can write the equation as:
($0.25 * g) + ($0.50 * r) = $5
Now, to find the inequality, let's understand the maximum values of "g" and "r" that satisfy this equation.
Since each game costs $0.25 and each ride costs $0.50, we can state that:
0.25g ≤ 5 - 0.50r
Simplifying this inequality further, we get:
0.25g + 0.50r ≤ 5
Therefore, the inequality representing the number of games and rides the child can enjoy for $5 is:
0.25g + 0.50r ≤ 5
To find the maximum number of games or rides that the child can enjoy, we need to find the values of "g" and "r" that satisfy this inequality and give the largest possible results. This can be done by graphing the inequality or by testing different values of "g" and "r" to see which combinations work.
I hope this explanation helps!