How do I calculate percentage increase for ratios in math homework?

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Homework Help Overview

The discussion revolves around calculating percentage increases for ratios in mathematical problems. The original poster presents two scenarios involving ratios: one related to a photocopier's increase in paper and another concerning the composition of an alloy. Participants are exploring how to correctly interpret and calculate percentage increases based on these ratios.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculations for percentage increases based on the differences in ratios. There are attempts to clarify the correct approach to the second question regarding the alloy and lead ratios, with some questioning the interpretation of the problem's wording.

Discussion Status

Some participants have provided feedback on the calculations, indicating correctness for the first question while expressing uncertainty about the second. There is an ongoing exploration of the assumptions and definitions related to the ratios, particularly concerning the alloy and lead comparison.

Contextual Notes

There is confusion regarding the presentation of the problem, particularly how the alloy is referred to both as a whole and as a part of the ratio. This has led to questions about the correct interpretation of the ratios involved.

asmalik12
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Homework Statement


1. A photocpier increases the paper with the ratio 4:5, what % is the paper increased
2. An alloay has a copper, alloy and lead with the ratio 5:7:3, what % is the alloy to lead


2. The attempt at a solution

1. Difference in equation = 5 - 4 = 1
= 1/4 * 100
= 25 %

2. Difference between the ratio of alloy and lead = 7 - 3 = 4
= 4/7 * 100
= 57.14 %

Am I doing it rightly?
 
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asmalik12 said:

Homework Statement


1. A photocpier increases the paper with the ratio 4:5, what % is the paper increased
2. An alloay has a copper, alloy and lead with the ratio 5:7:3, what % is the alloy to lead


2. The attempt at a solution

1. Difference in equation = 5 - 4 = 1
= 1/4 * 100
= 25 %
Yes, this is correct.
asmalik12 said:
2. Difference between the ratio of alloy and lead = 7 - 3 = 4
= 4/7 * 100
= 57.14 %

Am I doing it rightly?
No. There are 7 parts alloy to 3 parts lead, so there is about 2.33 times as much alloy as lead.
 


For Question No. 2

Difference in the ratio of alloy to lead = 7 - 3 = 4
= 4/3 * 100
= 133.33 %

Now ?
 


For question number two - are there 3 parts that you are comparing the 1 part to? Why does the problem refer to alloy as both the whole and a part? (I'm wondering if part of the confusion is in the presentation of the problem)

If the ratio is: ALLOY = Copper:OtherALLOY:Lead then I second Mark44's solution.
 

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