perplexus.info :: Weights and Scales : Ratio Resolution IV

Ratio Resolution IV (Posted on 2016-10-20)

Alloy 1 contains copper and zinc in the ratio N-1:N and Alloy 2 contains copper and zinc in the ratio N:N+1, where N is a positive integer > 1.

(i) Alloy 1 and Alloy 2 are melted together in the ratio P:Q, so that the ratio of copper and zinc in the resulting alloy is P:Q.

(ii) Alloy 1 and Alloy 2 are melted together in the ratio P:Q, so that the ratio of copper and zinc in the resulting alloy is Q:P.

In each of the cases (i) and (ii) - determine p:q in terms of N.

*** Each of p and q is a positive integer.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

p=2N²+N-1 and q=2N²-N-1.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution - correction	Brian Smith	2022-08-21 11:21:23
Solution	Brian Smith	2017-07-24 20:27:09
'[p(n-1)+qn] : [pn + q(n-1)]'	broll	2016-10-21 10:51:39
Solution?	Jer	2016-10-20 11:31:39

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