SOLUTION: In what ratio must two sorts of suger, costing $390 and $315 per kg respectively, be mixed in order to produce a mixture worth $345

Question 1149256: In what ratio must two sorts of suger, costing $390 and $315 per kg respectively, be mixed in order to produce a mixture worth $345
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
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In what ratio must two sorts of sugar, costing $390 and $315 per kg respectively,
be mixed in order to produce a mixture worth $345 ?
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Let x be the mass of the $390 sugar and y be the mass of $315 sugar. We want to find the ratio . Your basic equation is 390x + 315y = 345*(x+y). (1) Why the equation has this form, is absolutely clear, and I will not explain it further. Since we want to know the ratio , divide equation (1) by "y" (both sides). You will get + 315 = . (2) For simplicity, denote as z; then equation (2) takes the form 390*z + 315 = 345*z + 345. Simplify and find z 390z - 345z = 345 - 315 45z = 30 z = = . ANSWER. The ratio is . In other words, 2 masses of the $390 sugar should be mixed with 3 masses of the $315 sugar. CHECK. = 345 dollars. ! Precisely correct !

Solved.

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There is a bunch of introductory lessons in this site, covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive

You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization, from very detailed to very short.

Read them and become an expert in solution the mixture word problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Mixture problems".

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.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
"respectively" is superfluous, it's not needed.
It's a word some people like to use to make them appear smarter than they are.
============
Eschew obfuscation.
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