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Ivanna's penny bank is 1/6

full. After she adds 320 pennies, it is 1/2 full. How many pennies can Ivanna's bank hold?

User Yaje
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Final answer:

To determine the capacity of Ivanna's penny bank, we calculate the difference in fractions to equate to the number of pennies added. We find that the penny bank can hold a total of 960 pennies.

Step-by-step explanation:

Understanding Penny Bank Capacity through Fractions

Ivanna's penny bank was 1/6 full, and after adding 320 pennies, it became 1/2 full. To find out the total capacity of the bank, we can set up a proportion since the number of pennies added is proportional to the increase in the bank's capacity.

Let's denote the total capacity of the bank as C. Initially, the bank has C/6 pennies, and after adding 320 pennies, it has C/2 pennies. The difference between C/2 and C/6 is 320 pennies.

We can set up the following equation: C/2 - C/6 = 320

To solve this equation, find a common denominator, which is 6 in this case, and subtract C/6 from C/2 which can be rewritten as 3C/6 to obtain:

(3C/6 - C/6) = 320

This simplifies to:

(2C/6) = 320

Multiply both sides by 6/2 to solve for C:

C = 320 × (6/2)

C = 960

Therefore, Ivanna's penny bank can hold a total of 960 pennies.

User Paul Rene
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