Question

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.

Answer 1

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