While experimenting with 3 cups (A, B, C) and measuring their volumes in tablespoons. It is found that water from 1 cup of A and 4 cups of C gives the same volume as 2 cups of B and 3 tablespoons of water. Water from 1 cup of A and 3 cups of B is the same volume as 6 tablespoons and 2 cups of C. Lastly, 1 cup of A, 3 cups of C and additional 5 tablespoons has the same volume as 4 cups of B. How much is the volume of each cup based on estimation in tablespoons? Show the problem as linear equations and solve the problem above using Cramer's Rule.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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While experimenting with 3 cups (A, B, C) and measuring their volumes in tablespoons. It is found
that water from 1 cup of A and 4 cups of C gives the same volume as 2 cups of B and 3
tablespoons of water. Water from 1 cup of A and 3 cups of B is the same volume as 6 tablespoons
and 2 cups of C. Lastly, 1 cup of A, 3 cups of C and additional 5 tablespoons has the same volume
as 4 cups of B. How much is the volume of each cup based on estimation in tablespoons?
Show the problem as linear equations and solve the problem above using Cramer's Rule.
Transcribed Image Text:While experimenting with 3 cups (A, B, C) and measuring their volumes in tablespoons. It is found that water from 1 cup of A and 4 cups of C gives the same volume as 2 cups of B and 3 tablespoons of water. Water from 1 cup of A and 3 cups of B is the same volume as 6 tablespoons and 2 cups of C. Lastly, 1 cup of A, 3 cups of C and additional 5 tablespoons has the same volume as 4 cups of B. How much is the volume of each cup based on estimation in tablespoons? Show the problem as linear equations and solve the problem above using Cramer's Rule.
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