Final answer:
The ratio of pennies to quarters in a piggy bank that contains 5 nickels, 8 pennies, and 2 quarters is 8:2, which simplifies to a 4:1 ratio.
Step-by-step explanation:
The question is asking for the ratio of pennies to quarters in a piggy bank. The piggy bank contains 15 coins in total, with 5 being nickels, 8 being pennies, and the rest as quarters. To find the number of quarters, we subtract the number of nickels and pennies from the total number of coins:
- Total coins = 15
- Nickels = 5
- Pennies = 8
- Quarters = Total coins - (Nickels + Pennies)
Quarters = 15 - (5 + 8) = 15 - 13 = 2 quarters. Now we can write the ratio of pennies to quarters.
Ratio of pennies to quarters = Number of pennies : Number of quarters = 8 : 2.
However, this ratio can be simplified by dividing both terms by the greatest common divisor, which is 2 in this case. So after simplification, the ratio is:
Simplified ratio = 4 : 1.
Therefore, the ratio of pennies to quarters in the piggy bank is 4:1.