Respuesta :
Answer:
The correct answers are Part 1: 7x + 12y [tex]\leq[/tex] 50, x,y[tex]\geq[/tex] 0; Part 2: 7; Part 3: 0: Part 4: 2 old and 3 new video games.
Step-by-step explanation:
Penny's parents gave her $50 to buy new video games.
Price of used games are $7 and new games are $12.
Let Penny buy x number of old video games and y number of new video games.
Part 1:
Total price she spent on buying the video games are 7x + 12y.
This amount should be less than or equal to the amount of money she possess. therefore 7x + 12y [tex]\leq[/tex] 50, x, y [tex]\geq[/tex] 0.
Part 2:
Maximum number of used game she can buy can be given when she spends all her money just on used games. Therefore y = 0. This implies x [tex]\leq \frac{50}{7}[/tex].
Thus the maximum number of used game she can buy is 7 where she does not buy any new game and has $1 left with her after the purchase.
Part 3:
Minimum number of new games that Penny can buy is zero. She can not buy any new games and spent all her money purchasing old games.
Part 4:
The possible combination in which she can purchase both the video games is 2 old games and 3 new games.
