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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.1: Ratios And Rates
Problem 40E
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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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