Question

Simultenous Equation problem

Answer 1

In a factory, two types of components are processed on two separate machines. The respective processing times on the first machine are 18 minutes and 21 minutes, while for the second machine the times are 4 minutes and 42 minutes. How many of each type of component, per machine, should be processed in an 8-hour shift so that both machines are fully occupied and the output of each machine is the same?

Answer 2

Any idea, @ganeshie8?

Answer 3

I thought of doing:
\[18a+21b = 4a+42b\], but not sure

Answer 4

Any luck, @Ahsome ?

Answer 5

Nope, @Supreme_Kurt :(

Answer 6

Just call me "Kurt"
And we'll get along :)

It's called "simultaneous equations" for a reason, and for that, you need more than one equation.

The one you came up with, sadly, isn't all that useful, so let's try to come up with a few that are, shall we? ^^

Answer 7

That would be great, Kurt :)
Maybe we can say they both equal to 8 hours?

Answer 8

Looks like you already got it :)

And your two equations would be...?

Answer 9

\[18a+21b=480\]\[4a+42b=480\]

Where: \(a\) and \(b\) is the number of the two components made
?

Answer 10

You're playing games with us, lol

You already knew how to do it, after all? XD

Answer 11

I kinda just guessed ;)

Answer 12

Well then, you're on the right track.

POst your answer :D

Answer 13

Will do :)

Answer 14

a=15, b=10

Answer 15

Right proper :P

Answer 16

:D

Answer 17

Thanls again :)

Answer 18

I wasn't under the impression that I did anything... well, except call your attention, that is :P

I call it "Kurt Magic" HAHA

Good job ^^

Answer 19

Kurt Magic :O

Answer 20

You're a wizard, Kurt