You want to decorate a party hall with a total of at least 40 red and yellow balloons, with a minimum of 25 yellow balloons. How do you write and graph a system of inequalities to model the situation?

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Answer 1 · 2017-09-05T19:33:42

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Set red balloon count as $r$
Set yellow balloon count as $y$

$color(blue)(Condition(1))$

Minimum of 25 $y -> y>=25$

.............................................................................
$color(blue)(Condition(2))$

At least 40 $r and y$

$r+y>=40$

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$color(blue)(Condition(3))$

Thus the minimum $r->40-25->15color(red)(larr" Corrected "40=25" to "40-25$

So $r>=15$

$color(blue)("The shaded area is the feasible region")$

Tony B