Respuesta :
Answer: The answers are (110,40), (120,45), (130,50), etc.
Step-by-step explanation: Given that Ezra and Tara sold at least 150 coupon books and Ezra sold at most 30 books more than twice the number Tavares sold. We are to list the possible combinations of the numbers of coupon books Ezra and Tavares sold.
Let, 'x' and 'y' be the number of coupon books sold by Ezra and Tavares respectively. Then according to the question, we have
[tex]x+y\geq 150\\\\x-30\leq 2y.[/tex]
Writing these inequalities as equations, we have
[tex]x+y=150,\\\\x-30=2y~~\Rightarrow x-2y=30.[/tex]
Multiplying the first equation by 2 and adding to the second equation, we have
[tex]2x+x=300+30\\\\\Rightarrow 3x=330\\\\\Rightarrow x=110.[/tex]
So,
[tex]y=150-110=40.[/tex]
Thus, the possible combinations are
(110,40), (120,45), (130,50),etc.
