Jayden has x nickels and y pennies. He has at most 14 coins worth no less than $0.34 combined. Solve this system of inequalities
graphically and determine one possible solution.
1 answer:
Answer:
Step-by-step explanation:
Number of nickels with Jayden = x
Number of pennies with Jayden = y
Since, number of coins is at most 14,
x + y ≤ 14 -------(1)
Worth of nickels = $0.05x
Worth of pennies = $0.01y
Since, worth of pennies is not less than $0.34,
0.05x + 0.01y ≥ 0.34
5x + y ≥ 34 --------(2)
By using a graphing calculator,
Common point of of both the inequalities is (5, 9)
Therefore, Number of nickels = 5
Number of pennies = 9
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