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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?

Respuesta :

apologiabiology
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
JeanaShupp

Answer: [tex]x+y=48[/tex]

[tex]\dfrac{x}{y}=\dfrac{5}{7}\Rightarrow\ 7x=5y[/tex]

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 ,

[tex]x+y=48---(i)[/tex]

[tex]\dfrac{x}{y}=\dfrac{5}{7}\Rightarrow\ 7x=5y---(ii)[/tex]

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 :

[tex]x+y=48[/tex]

[tex]\dfrac{x}{y}=\dfrac{5}{7}\Rightarrow\ 7x=5y[/tex]

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