Concept explainers
To solve: for the number of bottles capped by each of the given machines in one day.
Answer to Problem 29P
The number of bottles capped by Machine A is
The number of bottles capped by Machine B is
The number of bottles capped by Machine C is
Explanation of Solution
Given Information: There are three machines A, B and C which caps bottles in a day such that,
(1) The number of bottles capped by A is twice that of B. and Machine C caps 500 bottles more than that done by A.
(2) The total bottles capped by the three machines together is 40,000
The given statements express the relation between the number of bottles capped by three machines in a day.
Let the number of bottles capped by Machine A be x .
1. The first statement gives the number of bottles capped by B and C in terms of Machine A as
2. The second statement gives the total number of bottles capped by the three machines together in a day as,
Solving the equation gives the number of bottles capped by Machine A as,
Now, the number of bottles capped by Machine B is given by,
And, the bottles capped by Machine C is given by,
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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