At the bank, penny rolls are weighed to determine the amount of money they contain. If 1 penny weighs 2.35 g, how much money is in a pile of rolls weighing 4.54 kg?(Answer to 2 decimals, as in dollars and cents.)
Question
At the bank, penny rolls are weighed to determine the amount of money they contain. If 1 penny weighs 2.35 g, how much money is in a pile of rolls weighing 4.54 kg?(Answer to 2 decimals, as in dollars and cents.)
Solution
First, we need to convert the weight of the penny rolls from kilograms to grams because the weight of a single penny is given in grams.
1 kg = 1000 g
So, 4.54 kg = 4.54 * 1000 = 4540 g
Next, we need to find out how many pennies are in the pile of rolls. We do this by dividing the total weight of the rolls by the weight of a single penny.
Number of pennies = Total weight / Weight of one penny Number of pennies = 4540 g / 2.35 g/penny = 1931.91 pennies
Since we can't have a fraction of a penny, we'll round this down to the nearest whole number, which is 1931 pennies.
Finally, we need to convert this number of pennies into dollars. There are 100 pennies in a dollar, so we divide the number of pennies by 100.
Amount of money = Number of pennies / 100 Amount of money = 1931 / 100 = $19.31
So, a pile of penny rolls weighing 4.54 kg contains approximately $19.31.
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