Examine the regular pentagon below.
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For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.
<h3>How to apply systems of linear equations in real life equations</h3>
In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:
<em>y = x - 5</em> (1)
<em>0.5 · y =</em> <em>z</em> (2)
<em>x + y + z = 6250</em> (3)
The solution of the system of <em>linear</em> equations is described below:
<em>x =</em> 2503, <em>y =</em> 2498, <em>z =</em> 1249
For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.
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