Answer:
[tex]\left\{\begin{array}{l}x\ge 0\\ \\y\ge 0\\ \\x+y\ge 20\\ \\3.5x+5y\le 80\end{array}\right.[/tex]
Step-by-step explanation:
Let x be the number of small candles and y be the number of large candles.
Santhi needs to buy at least 20 candles, so
[tex]x+y\ge 20[/tex]
Small candles:
Cost of 1 small candle = $3.50
Cost of x small candles = $3.50x
Large candles:
Cost of 1 large candle = $5.00
Cost of y large candles = $5.00y
Total cost of all candles:
$3.50x + $5.00y
Thus,
[tex]3.5x+5y\le 80[/tex]
Using Desmos, plot the system of two inequalities:
[tex]\left\{\begin{array}{l}x+y\ge 20\\ \\3.5x+5y\le 80\end{array}\right.[/tex]
