6. On a certain day, there were 104 pennies in jar A and 20 pennies in jar B. On each subsequent day, 3 pennies were removed from jar A and 4 pennies were added to jar B until the jars had the same number of pennies. On how many days were pennies removed from jar A?
Answer: C
It took 12 days for the pennies in jar A and jar B to be equal.
After 12 days of removing 3 pennies from jar A and adding 4 pennies to jar B, both jars contained the same number of pennies.
A) 8
Choosing 8 days would mean that 24 pennies were removed from jar A, reducing it to 80 pennies, while jar B would have 52 pennies after receiving 32 pennies. This results in unequal amounts, as 80 does not equal 52.
B) 10
If 10 days were considered, 30 pennies would have been taken from jar A, leaving it with 74 pennies. Jar B would have received 40 additional pennies, totaling 60. Again, these amounts are unequal, indicating that this option is incorrect.
C) 12
After 12 days, jar A would lose 36 pennies (3 pennies per day), resulting in 68 pennies. Jar B, which would gain 48 pennies (4 pennies per day), would reach 68 pennies as well. This shows that both jars have the same number of pennies, making this option the correct answer.
D) 14
If the process continued for 14 days, jar A would have lost 42 pennies, leaving it with 62. Jar B would have gained 56 pennies, resulting in a total of 76. This indicates that the jars are not equal, thus making this option incorrect.
E) 16
After 16 days, jar A would have 54 pennies left after losing 48, while jar B would have 84 pennies after gaining 64. This shows that the jars would not be equal, therefore this choice is also incorrect.
Conclusion
Option C is definitively correct because it accurately reflects the number of days required for the pennies in both jars to equalize. Other options fail because they do not result in equal quantities of pennies in jars A and B after their respective days of adjustment.