Final answer:
To find the capacity of Leila's penny bank, we calculate the difference between 3/4 and 1/2 of the bank's fullness, which is given as 280 pennies. Solving (1/4)C = 280, we find that the bank's total capacity is 1120 pennies.
Step-by-step explanation:
The subject is Mathematics, and we are dealing with a fraction problem suitable for Middle School level. The question asks how many pennies Leila's bank can hold. We are given two fractional states of the bank's capacity: 3/4 and 1/2, and the change in pennies between these two states (280 pennies). To solve this, let's denote the total capacity of the bank as C. The difference between 3/4 and 1/2 of C equals 280 pennies.
Therefore, (3/4)C - (1/2)C = 280
Simplifying, we find (1/4)C = 280, so the total capacity C = 280 × 4 = 1120. Hence, Leila's bank can hold 1120 pennies.