Cost of a trophy = $10
Cost of a medal = $6
Let the number of trophies that can be bought be t
Let the number of medals that can be bought be m
The maximum amount of money you have to spend = $60
a) The inequality that represents the numbers of trophies and medals that can be bought is:
10t + 6m ≤ 60
The graph of the inequality is plotted below
B) You want to purchase at least 5 items
This means that the total number of trophies and medals bought should be greater than or equal to 5.
The system of inequalities that represents the solution is:
t + m ≥ 5............................(1)
10t + 6m ≤ 60....................(2)
The system of inequalities is graphed below
t + m ≥ 5 is plotted in purple
10t + 6m ≤ 60 is plotted in pink
