Question

Four employees at a crayon factory are working on four separate machines. Cynthia's machine produces 100 less than twice the number of crayons as Zane's machine every hour. Louisa's machine produces 50 crayons more than Zane's machine every hour. Evan's machine produces 20 crayons less than Cynthia's machine every hour. How many crayons must Zane's machine produce every hour in order for Cynthia and Zane output to equal Louisa and Evan's output?

Answer 1

Let x be Zane's machine.
Cynthia then will have 2x - 100
Louisa will have x + 50
Evan will have x - 20

Just equate Zane+Cynthia and Louisa+Evan's machine's output and then solve for x. Can you do it?

Answer 2

i'm not sure very bad with word problems but if I did it correctly is x=-70 if not what step is wrong

Answer 3

Did you arrive at this way?
x+2x-100 = x+50+x-20
3x-100 = 2x +30
Therefore, what is x?

Answer 4

yes

Answer 5

What is your x, then? Maybe you just made some error on calculations. It's not -70 btw. :)

Answer 6

ok is it 5x70

Answer 7

sorry 5x-70

Answer 8

I am confused can you walk me through this one I will mimic the formula for my similar problems

Answer 9

You just apply the law of axioms or transpositions.
We are now with
3x-100 = 2x+30, right?
Using tranposition (you need to change the sign if you transpose), see the process below
3x-100 - 2x - 30 = 0
Therefore,
x - 130 = 0
Therefore, x is what?

Answer 10

I think I got it x=130