Answer: 960
Explanation:
Let's represent the number of pennies Kaitlin's bank can hold with "x".
According to the problem, the bank is initially 1/4 full. This means it contains:
(1/4)x
After Kaitlin adds 400 pennies, the bank becomes 2/3 full. This means it contains:
(2/3)x
We can set up an equation based on the information above:
(1/4)x + 400 = (2/3)x
To solve for x, we can start by multiplying both sides by the least common multiple of 4 and 3, which is 12:
3x + 4800 = 8x
Subtracting 3x from both sides, we get:
4800 = 5x
Dividing both sides by 5, we find:
x = 960
Therefore, Kaitlin's bank can hold 960 pennies.