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Melody  11 Feb 2022
 #2
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jyotig:

Class A folds 160 fewer paper cranes than class B and 2/3 as many paper cranes as Class C. Class B folds 92 more paper cranes than class C. How many cranes does class B fold?


Need a method, not an answer. No Algebra!



Well JyotiG

If you are going to keep asking questions like this you simply have to learn some algebra.
I will talk you through it. If you don't understand say so. Are you prepared to give it a go?
*Added after I finished:This question is particularly difficult for you. If you want to learn to do these you probably should start with easier ones.
By the way, that question that I answered for you, where i kept referring to mum's and dad's, that was algebra. The only little difference was that with real algebra I would have replaced mum's with M and dad's with D. If you understood that, then you can understand algebra!

I am going to call the number of cranes that class A makes 'cranesA' normally i would just call it A but I am trying to ease you into algebra.
The number of cranes that class B makes can be 'cranesB'
and the number of cranes that class C makes can be 'cranesC'

Now i have to change the words into equations. This is how it is done.

Class A folds 160 fewer paper cranes than class B
cranesA = cranesB - 160

Class A folds 2/3 as many paper cranes as Class C.
cranesA = 2/3 of C (of is multiply)

Class B folds 92 more paper cranes than class C.
CranesB = cranesC + 92

How many cranes does class B fold?

These are the equations that I now have
cranesA = cranesB - 160..... (1)
cranesA = 2/3 * cranesC..................(2)
CranesB = cranesC + 92.......(3)

equation 1 and 3 both have cranesB in them.
I am going to replace cranesB in the first one with cranesC+92 from the third one.
cranesA = cranesC +92 -160
cranesA = cranesC -68 ........(4)
Now I am going to put (4) into (2) like this
cranesC - 68 = 2/3*cranesC
If I subtract 2/3 of the cranes class C made from both sides I get
1/3 of cranesC - 68 = 0
If I add 68 to both sides I get
1/3 of cranesC = 68
multiply both sides by 3 and I get
3 * 1/3 of cranesC = 3*68
cranesC = 204

Now we have
cranesC = 204 and
cranesA = 2/3 * cranesC..................(2) so
cranesA = 2/3 * 204 = 136

and now we have
cranesC = 204 and cranesA = 136 and cranesB = cranesC + 92.......(3) so
cranesB = 204 + 92 = 296

My answer is: Class A makes 136, classB makes 296 and class C makes 204
CHECK:
Class A folds 160 fewer paper cranes than class B (296-136=160 check) and 2/3 as many paper cranes as Class C. (2/3 of 204=136 check)
Class B folds 92 more paper cranes than class C. (204+92=296 check)
Good, everything is correct.

Now Jyoti, this was a difficult question that many 15 year olds would not be able to do. If you can't understand what i have done do not be too disheartened. You really need to start with easier questions.
If you would like me to get you started with algebra you only have to ask.
But please join up.
19 Feb 2014
 #1
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jyotig:

Here's the question:
Daniel and William have some marbles. Daniel find that 2/5 of the number of marbles he has is 4/5 the number of marbles William has. William has 195 marbles. How many marbles does Daniel have?
I did 4/5*195 and got 156 as my final answer. Is it correct or is there an extra step?

No Algebra!



Hi JyotiG,
I have a couple of things to say to you first Jyotig.
Firstly i have been watching your posts and i am really impressed. I want you to join up properly. Please...
I am sure you have already read my post. '"Become a member, why would i want to? " If not, you can read it now (or soon).
Please join up.
Secondly 'No Algebra!' does not sound very polite. Perhaps if you wrote "Please no algebra because I am only 10 and i haven't learnt it yet". That would sound much better. Please is always a good word to use when you are asking for anything! You don't have to tell people that you are only 10 if you don't want to but it does explain better why you haven't done algebra.
Thirdly. Why don't you start learning algebra. You can answer a whole world of problems using algebra and you are very bright so it wouldn't be that difficult.
Fourth but not least: I really liked that you added what you had already tried. I wish everyone did that.
Now to your problem.
Daniel and William have some marbles. Daniel find that 2/5 of the number of marbles he has is 4/5 the number of marbles William has. William has 195 marbles. How many marbles does Daniel have?
I did 4/5*195 and got 156 as my final answer. Is it correct or is there an extra step?

In order to decide if there is an extra step you can check the answer that you already have. William has 195 marbles and Daniel has 156 marbles. that is your answer.
4/5 of Williams is 4/5*195 = 156 marbles
This is suppose to equal 2/5 of Daniel's. 2/5 of Daniels is 2/5 * 156 so that can't be right. You must be missing a step! (The * is a times sign because when you learn algebra you use x as a letter)

You want
4/5 of Willliams to equal 2/5 of Daniels
4/5 * 195 = 2/5 of daniels
156 = 2/5 of daniels
156 divided by 2/5 is Daniels
Dividing by 2/5 is the same as multiplying by 5/2
156 * 5/2 = Daniels
etc
when you finish you should check that you answer works with the original question.
19 Feb 2014