To state: The number of bolts each machine can produce per hour if there are three machines A , B , and, C . They can produce 287 bolts per hour if work together, 197 when A and C are working, and 202 bolts when A and B are working.
Machine A produces 112 bolts, machine B 90 bolts, and machine C produces 85 bolts per hour.
Given information:
The given system statementis:three machines A , B , and, C . They can produce 287 bolts per hour if work together, 197 when A and C are working, and 202 bolts when A and B are working.
Explanation:
Let’s assume the number of bolts produced by machine A is x , the number of bolts produced by machine B is y , and the number of bolts produced by machine C is z .
Now form equation using the given statements.
All three machines can produce 287 bolts:
A and Cis working the production is 197 bolts:
A and B are working the production is 202 bolts:
Let’s number the equation,
Now substitute
Now substitute
Now calculate the value of variable x by substituting the value of y ,
Conclusion:
Machine A produces 112 bolts, machine B 90 bolts, and machine C produces 85 bolts per hour.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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