1.6.4 Recognizing Related Equations

Algebra 11.6.4 Recognizing Related Equations

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A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation $0.6 + 15 b + 4 = 25.6$ .

In this situation, what does the solution to the equation represent?

The solution is the weight of a bag of beans.

Identify the three equations that are equivalent to 0.6+15b+4=25.6.

$15 b + 4 = 25.6$
$15 b + 4 = 25$
$3 (0.6 + 15 b + 4) = 76.8$
$15 b = 25.6$
$15 b = 21$

$15 b + 4 = 25$ , $3 (0.6 + 15 b + 4) = 76.8$ , $15 b = 21$ . Correctly applying the properties of real numbers and using inverse operations helps you recognize equivalent equations.

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