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?
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: \(x+y=48\)
\(\dfrac{x}{y}=\dfrac{5}{7}\Rightarrow\ 7x=5y\)
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 :
\(x+y=48\)
\(\dfrac{x}{y}=\dfrac{5}{7}\Rightarrow\ 7x=5y\)