Answer:
5x + 7y = 48 (total number of passengers on the ride)
x + y = 48 (total number of males and females on the ride)
Explanation:
To find the number of males and the number of females on the roller coaster ride, you can use the following two linear equations to form a system:
5x + 7y = 48 (total number of passengers on the ride)
x + y = 48 (total number of males and females on the ride)
The first equation states that the total number of passengers on the ride is equal to the sum of the number of males (5x) and the number of females (7y). The second equation states that the total number of males and females on the ride is equal to the sum of the number of males (x) and the number of females (y).
To solve this system, you can use algebraic techniques to eliminate one of the variables and solve for the other. For example, you could multiply the first equation by 5 and the second equation by 7, then subtract the two equations to eliminate the y variable:
5 * 5x + 7 * 7y = 5 * 48
7 * x + 7 * y = 7 * 48
25x + 49y = 240
49x + 49y = 336
24x = 336 - 240
24x = 96
x = 4
Substituting this value for x in the first equation, we can solve for y:
5 * 4 + 7 * y = 48
20 + 7 * y = 48
7 * y = 28
y = 4
Therefore, there are 4 males and 4 females on the roller coaster ride.