Question

Hello! Can someone pls help me out! It will be highly appreciated! Tysm and have a good day!

Answer 1

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 $\frac{1}{9}$ full. So the number of coins were $\frac{1}{9} x.$

After adding 240 pennies, it became $\frac{1}{3}$ full. So the number of coins are $\frac{1}{3} x.$

So it can be written as $\frac{1}{9} x +240= \frac{1}{3} x.$

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.

$\frac{1}{9} x +240= \frac{1}{3} x, 240 = \frac{1}{3} x - \frac{1}{9} x = 0.22222x.$

$0.222x = 240, x = \frac{240}{0.22222} = 1,080.010.$

Rounding this off, we get that Donna's penny bank can hold 1080 coins.