Concept explainers
To find time taken by the hairdresser to give a haircut and dye customer’s hair using augmented matrix.
Answer to Problem 6CB
Time for hair cut
Time for hair dye
Explanation of Solution
Given:
A hairdresser can give 3 haircuts and 2 hair dyes in 315 min.
He can give 2 haircuts and 4 hair dyes in 450min.
Calculation:
Let
Let
Now, according to the question, the equations will be,
Now writing equation (i) and equation (ii) in a matrix and row reducing it,
Hence by the matrix,
Hence, time taken by the hairdresser to give one haircut is 45 min.
Time taken by the hairdresser to dye a customer’s hair is 90min.
Conclusion:
Therefore, the hairdresser takes 45 min to give one haircut and 90 min to dye a customer’s hair.
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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