Answer:
Step-by-step explanation:
The worth of a penny is 1 cent = 1/100 = $0.01
The worth of a nickel is 5 cents = 5/100 = $0.05
Let x represent the number of pennies that she could have. Lucy has some pennies and some nickels. She has a maximum of 15 coins. If lucky has 6.999999999999999, it means that
6.999999999999999 + x ≥ 15
x ≥ 15 - 6.999999999999999
x ≥ 8
If the 15 coins worth a minimum of $0.47combined, it means that
0.05(6.999999999999999) + 0.01x ≤ 0.47
0.35 + 0.01x ≤ 0.47
0.01x ≤ 0.47 - 0.35
0.01x ≤ 0.12
x ≤ 0.12/0.01
x ≤ 12
Therefore, the possible values for the number of pennies that she could have is 8 ≤ x ≤ 12
