Donna's penny bank can hold 1080 coins.
Step-by-step explanation:
Step 1:
Assume the total number of coins that Donna's penny bank can hold is x.
So in the beginning, it was [tex]\frac{1}{9}[/tex] full. So the number of coins were [tex]\frac{1}{9} x.[/tex]
After adding 240 pennies, it became [tex]\frac{1}{3}[/tex] full. So the number of coins are [tex]\frac{1}{3} x.[/tex]
So it can be written as [tex]\frac{1}{9} x +240= \frac{1}{3} x.[/tex]
Step 2:
So we need to determine the total number of coins that Donna's penny bank can hold i.e. the value of x.
[tex]\frac{1}{9} x +240= \frac{1}{3} x, 240 = \frac{1}{3} x - \frac{1}{9} x = 0.22222x.[/tex]
[tex]0.222x = 240, x = \frac{240}{0.22222} = 1,080.010.[/tex]
Rounding this off, we get that Donna's penny bank can hold 1080 coins.
