Question

divide 100 into parts such that half of the first part is equal to one third of the second ​

Answer 1

Let x be the number in the first part.

Let y be the number in the second part.

Let z be the number in the third part.

We know that

x + y + z = 243

Then “half of the first part, a third of the second part, and a fourth of the third part are all equal” means

x/2 = y/3 = z/4

Let's look at just one variable. We know that

x = (2/3)y

And

z = (4/3)y

So

(2/3)y + y + (4/3)y = 243

3y = 243

y = 81

Then

x = (2/3)(81)

x = 54

And

z = (4/3)(81)

z = 108

x, y, and z are our sections.

Answer 2

Answer:

a/2=b/3

a+b=

3a-2b=0

Step-by-step explanation:

b=60

a=40