How Many Pennies Made Before and After 1982 Are in the Bag?
How many pennies made before 1982 and after 1982 are in the bag?
If you have a bag of 1374 pennies, and the bag weighs 3846.6 grams, how many pennies from each time period are there in the bag?
Answer:
Number of pennies made prior to 1982: 678
Number of pennies made after 1982: 696
To solve this problem, we can set up two equations using the information given. Let's call the number of pennies made prior to 1982 'x' and the number of pennies made after 1982 'y'.
From the information given, we know that the weight of the 1374 pennies is 3846.6 grams. So we have the equation 3.1x + 2.5y = 3846.6.
We also know that there are 1374 pennies, so we have the equation x + y = 1374.
By solving these two equations, we can find the number of pennies made prior to 1982 and the number of pennies made after 1982.
Therefore, there are 678 pennies made before 1982 and 696 pennies made after 1982 in the bag.