Question

A roller coaster ride holds a total of 48 passengers. The ratio of males to females on the ride is 5 : 7. Let xx represent the number of males on the ride. Let yy represent the number of females on the ride. Which two linear equations form a system that you can use to find the number of males and the number of females on the ride

Answer 1

To find a system of linear equations, we set up two equations based on the given ratio of males to females and the total number of passengers. The equations are x/y = 5/7 and x + y = 48.

Step-by-step explanation:

To find a system of linear equations that can be used to determine the number of males and females on the roller coaster ride, we can set up two equations based on the given ratio. Let x represent the number of males and y represent the number of females. The first equation is x/y = 5/7, which represents the ratio of males to females. The second equation is x + y = 48, which represents the total number of passengers on the ride. These two equations form a system that can be solved to find the values of x and y.

Answer 2

First, consider the total male and female passengers which is 48. Equation 1 can be expressed as,
xx + yy = 48
Then, for the ratio,
xx / yy = 5/7
Cross-multiplying the equation. The equation becomes,
7xx = 5yy
The two linear equations are therefore,
(1) xx + yy = 48
(2) 7xx - 5yy = 0