Question 1179647: 3 similar chocolate bars and 4 similar packets of candy weigh 200 g. 3 such
chocolate bars and 7 such packets of candy weigh 260 g. What is the weight of a
chocolate bar?
Found 3 solutions by MathLover1, MathTherapy, ikleyn: Answer by MathLover1(20850) (Show Source): Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website! 3 similar chocolate bars and 4 similar packets of candy weigh 200 g. 3 such
chocolate bars and 7 such packets of candy weigh 260 g. What is the weight of a
chocolate bar?
Let weight of a chocolate bar, and a packet of candy, be B, and C, respectively
Then we get: 3B + 4C = 200 ------ eq (i)
Also, 3B + 7C = 260 ------ eq (ii)
3C = 60 ------ Subtracting eq (i) from eq (ii)
Weight of a chocolate bar, or 
Substitute 20 for C in either eq (i) or eq (ii) and solve for B to get the weight of a chocolate bar.
If you love to TORMENT yourself, then you can do the problem the way the other person did.
I have no idea why she continues to make MOUNTAINS out of MIOLEHILLS with these simple-enough math problems.
Answer by ikleyn(52794) (Show Source):
You can put this solution on YOUR website! .
3 similar chocolate bars and 4 similar packets of candy weigh 200 g.
3 such chocolate bars and 7 such packets of candy weigh 260 g.
What is the weight of a chocolate bar?
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Actually, this problem is intended for MENTAL solution without using equations.
Looking into the text, an attentive reader sees that
- the difference between two purchases is 3 packets of candy
- and the difference in weights between two purchases is 260-200 = 60 grams.
Hence, the weight of one packet of candy is 60/3 = 20 grams.
From it, the weight of 3 chocolate bars is 200 - 4*20 = 120 grams.
Hence, each chocolate bar weights 120/3 = 40 grams.
Solved.
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To see many other similar (and different) problems, solved in the same way, look into the lesson
- Solving mentally word problems on two equations in two unknowns
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.
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