John has 73 bags each of which contains a quarter, a dime, a nickel, and a penny. He takes these bags to the bank and exchanges all the money for some number of dollar bills, dimes, and pennies. If the number of pennies John gets after exchanging the money with the bank is less than 10, how many pennies does he have?
0.25 + 0.10 + 0.05 + 0.01 ==0.41 cents in each bag
73 x 0.41 ==$29.93 - total amount of money in 73 bags.
They exchanged $29.93 for:
This $29.93 consists of: [73 x 0.25==$18.25], [73 x 0.10==$7.30], [73 x 0.05==$3.65], [73 x 0.01==$0.73]
[18 + 7 +3] + [0.25Q +0.05N + 0.70P]==$29 + 0.30D + 0.60N + 0.03P==$29.93
$29.93 - $29.90 ==$0.03. John should have received 3 pennies.
