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Last week I spent 104 minutes doing 1 arm routine and 3 abdominal routines. This morning I completed 3 arm routines and 1 abdominal routine and spent 80 minutes. How long does each routine last?

Answer :

Final answer:

The question involves solving two simultaneous equations to find the time taken for an arm routine and an abdominal routine. By setting up the equations from the sentences and solving, you can find the time for each routine.

Explanation:

First, let's establish two equations from the information given. If we let A stand for the length of time an arm routine takes, and B stand for the length of time an abdominal routine takes, we then know from the first sentence that A + 3B = 104 minutes. Similarly, the second sentence tells us that 3A + B = 80 minutes. You can then solve these equations simultaneously to find the values of A and B. There are several ways to do this, but one way is to multiply the second equation by 3 and then subtract the first equation from the result. This gives you the length of one arm routine, then substitute this into one of the original equations to find the length of one abdominal routine.

Learn more about Simultaneous Equations here:

https://brainly.com/question/31913520

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