SOLUTION: In one day, Machine A caps twice as many bottles as machine B {{{A = 2B}}}. Machine C caps 500 more bottles than Machine A {{{C = A + 500}}}. the three machines cap a total of 40,0

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Question 13285: In one day, Machine A caps twice as many bottles as machine B . Machine C caps 500 more bottles than Machine A . the three machines cap a total of 40,000 bottles in a day . How many bottles does each of the machines cap in one day?
Answer by akmb1215(68) (Show Source):
You can put this solution on YOUR website!
I have added the equations to your question. The three equations you have to work with are .......and . To solve, you first need to solve A=2B for B so that you can plug it into the last equation. Once you do this, you get , which is the same as . Now you can plug this and the other equation in to get . Combine like terms to get . Solve to get and then finally . To get B and C, simply plug in A to the original equations: ....B = 7000. ....C = 14500.