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Mathematics 8 Online
OpenStudy (anonymous):

Can someone help with a simple question for a medal?

OpenStudy (anonymous):

Tania has 56 liters of milk. She uses the milk to make muffins and cakes. Each batch of muffin requires 7 liters of milk, and each batch of cakes require 4 liters of milk. Let x be the number of batches of muffins and y be the number of batches of cakes that Tania can make.

OpenStudy (anonymous):

How would I be able to translate that into an equation

OpenStudy (adamaero):

1) name variables 2) assign variables so multiply your x and y variables by the numbers given equal to...(let me see)

OpenStudy (adamaero):

so you're making two separate equations

OpenStudy (adamaero):

56 = ... 56 = ...

OpenStudy (adamaero):

get it?

OpenStudy (anonymous):

Yeah

OpenStudy (anonymous):

Sooo what would the equation be?

OpenStudy (anonymous):

I mean, I know how to get the answer once I have the equations, but word problems are my weakness.

OpenStudy (adamaero):

type what you think it is and I'll tell you if you're right

OpenStudy (anonymous):

Thats the thing, I don't know. If I did I wouldn't be asking for help

OpenStudy (adamaero):

I'm not going to just give it to you.

OpenStudy (adamaero):

Give me something, and we can go from there.

OpenStudy (anonymous):

Give you what?

OpenStudy (anonymous):

Oooohhhh, my bad lol hang on

OpenStudy (adamaero):

Tania want to know the maximum amounts of either muffins or cakes: With 56 liters of milk (and unlimited amounts of all other ingredients) how many muffins can she make? That is the first equation. With 56 liters of milk (and unlimited amounts of all other ingredients) how many cakes can she make? That is the second equation. (Remember that both equations are unrelated to each other; meaning, you start over with 56 liters of milk for the second equation.)

OpenStudy (anonymous):

56x+7=4

OpenStudy (anonymous):

?

OpenStudy (adamaero):

I got you started before! 56 = ... (equation one) 56 = ... (equation two)

OpenStudy (adamaero):

one equation uses x the other uses y

OpenStudy (anonymous):

56=7x+4 ?

OpenStudy (adamaero):

two equations one equation uses x the other uses y

OpenStudy (anonymous):

I know its 2 equations, I just want to focus on one and when that one equation is right I will move onto the other

OpenStudy (anonymous):

What a coincidence

OpenStudy (adamaero):

First, you're mixing your muffins and cakes. They're separate. 56 = ?x 56 = ?y

OpenStudy (anonymous):

So, 56=7x

OpenStudy (anonymous):

And 56=4y ?

OpenStudy (adamaero):

simplify (find x & y)

OpenStudy (anonymous):

X=8 y=14

OpenStudy (anonymous):

That it?

OpenStudy (adamaero):

ya, correct

OpenStudy (adamaero):

now you can visualize this problem by "combining" equations into a graph: http://openstudy.com/study#/updates/5425e174e4b018cf506cfd56 look for intersection of those numbers on the x & y axis...

OpenStudy (anonymous):

Okay, thats all I need. Thanks

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