Answer:
a) [tex]10x+8y \geq 200[/tex]
b) The members should sell at least 15 puzzles
Step-by-step explanation:
Let x represents selling games
and y represents puzzles
The statement given is: They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.
a) The inequality will be:
[tex]10x+8y \geq 200[/tex]
at least 200 means the profit can be equal to 200 or greater than that.
b) If the members sell 8 games, how many puzzles would they have to sell?
Number of puzzles sold can be solved by solving the inequality [tex]10x+8y \geq 200[/tex]
Put x =8 and find value of y
[tex]10x+8y \geq 200\\10(8)+8y\geq 200\\80+8y\geq 200\\8y\geq 200-80\\8y\geq 120\\y\geq \frac{120}{8}\\y\geq 15[/tex]
So, the members should sell at least 15 puzzles to make the inequality true. because the profit should be at least $200.
