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Problema Solution

Gymnasts training for an upcoming competition are practicing their routines for balance beam and floor exercise. During morning practice, Marie practiced her beam routine 2 times and her floor routine 7 times, which took a total of 13 minutes. During afternoon practice, she ran through her her beam routine 2 times and her floor routine 5 times, which took a total of 11 minutes. How long is each routine?

Answer provided by our tutors

Let

x = the time length of the beam routine

y = the time length of the floor routine

2x + 7y = 13

2x + 5y = 11

........

click here to see the system of equations solved for x and y

........

x = 3 min

y = 1 min

The beam routine is 3 minutes and the floor routine is 1 minute long.

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