Question

Item 8 Question 1 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

Here are the equations
x+y=48
x/y=5/8


but here's how I would solve it

5+7=12
48=12units
divide by 12 both sides
4=1unit

males=5 unit
4=1unit
times 5
20=5unit=males

females=7unit
4=1unit
times 7
28=7unit=females

Answer 2

Answer: $x+y=48$

$\dfrac{x}{y}=\dfrac{5}{7}\Rightarrow\ 7x=5y$

Step-by-step explanation:

Let x represent the number of males on the ride. Let y represent the number of females on the ride.

As per given , we have ,

$x+y=48---(i)$

$\dfrac{x}{y}=\dfrac{5}{7}\Rightarrow\ 7x=5y---(ii)$

From (i) and (ii), the required  two linear equations form a system that you can use to find the number of males and the number of females on the ride are :

$x+y=48$

$\dfrac{x}{y}=\dfrac{5}{7}\Rightarrow\ 7x=5y$