Need to be done ✅

there is a total of 270 men, women and children on a train.
the ratio of men to women is 4 : 5.
the ratio of women to children is 10:
how many men are on the train?
give your final answer as
.. men on the train.

80 men

Step-by-step explanation:

Let m represent the number of men , w , the number of women and c the number of children , then we have:

m : w = 4 : 5 equation 1

w : c = 10 : 9 equation 2

Multiply equation 1 by 2 so as to get the ratio m:w:c , that is

equation 1 becomes : m: w = 8 : 10

so the combine ration m : w : c is 8 : 10 : 9

The total ratio is therefore 8 + 10 + 9 = 27

number of men = ratio of men/ total ratio X 270

number of men = 8/27 X 270

number of men = 8 X 10

number of men = 80

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.