Answer:
fraction of male passengers = 40/64 = 5/8
Step-by-step explanation:
let male passengers = x
let female passengers = y
total passengers = 64
as per given:
x = 16 + y (1)
x + y = 64 (2)
substituting value of x from equation (1) into equation (2)
16 + y + y = 64
16 + 2y = 64
2y = 64 - 16
2y = 48
y = 48/2 = 24
substituting value of y in equation (1)
x = 16 + 24 = 40
thus,
male passengers = 40
female passengers = 24
fraction of male passengers = 40/64 = 5/8
Answer:
5/8
Step-by-step explanation:
Let's denote the number of female passengers as [tex]\sf x [/tex].
Since there are 16 more male passengers than female passengers, the number of male passengers would be [tex]\sf x + 16 [/tex].
According to the problem, the total number of passengers is 64.
So, we can write the equation as:
[tex]\sf x + (x + 16) = 64 [/tex]
Now, let's solve for [tex]\sf x [/tex]:
[tex]\sf 2x + 16 = 64 [/tex]
[tex]\sf 2x = 64 - 16 [/tex]
[tex]\sf 2x = 48 [/tex]
[tex]\sf x = \dfrac{48}{2} [/tex]
[tex]\sf x = 24 [/tex]
So, there are 24 female passengers and [tex]\sf 24 + 16 = 40 [/tex] male passengers.
Now, to find the fraction of passengers that are male, we divide the number of male passengers by the total number of passengers:
[tex]\sf \textsf{Fraction of male passengers} = \dfrac{\textsf{No. of male passengers}}{\textsf{Total no. of passengers}} [/tex]
[tex]\sf = \dfrac{40}{64} [/tex]
[tex]\sf = \dfrac{5}{8} [/tex]
So, [tex]\sf \dfrac{5}{8} [/tex] of the passengers are male.
