Answer:
Martina's penny bank can hold a maximum of 880 coins.
Step-by-step explanation:
Initially the penny bank is [tex]\frac{1}{6}[/tex] full of coins.
Let the penny bank can hold a maximum of x coins.
After she adds 440 pennies, it is 2/3 full. This means 440 coins are added to make the bank from 1/6 to 2/3 full.
We can write this as an equation.
[tex]\frac{2x}{3} -\frac{x}{6}[/tex] = 440
[tex]\frac{x}{2}[/tex] = 440
x = 880 coins
Martina's penny bank can hold a maximum of 880 coins.
