It dates back to the late 18th and early 19th centuries when mechanical presses were used. The number of grooves was chosen based partly on how easy it was to create dies for those denominations.
The grooves are called Reeds. Dimes have 118 of them, Quarters have 119. And Half Dollars have 150.
The man has 13 dimes and 7 quarters, which equate to $3.05 $1.30 + $1.75 If he had 13 quarters and 7 dimes he would have $3.95 $3.25 + 70c The method used to work this out was dividing 90c by the difference between the value of a dime and a quarter- i.e. 15c . 90 / 15 = 6, so of 20 coins, 6 more were dimes than quarters. Subtract 6 from 20, then halve the result = 7 the lower number is 7, the higher number is 7+6, = 13. Please also note that 'Quarters' is spelled with 2 'r's
# 4 quarters + 5 dimes # 2 quarters + 10 dimes # 3 quarters + 5 nickels + 5 dimes
3 quarters, 4 dimes
He has 18 quarters (for $4.50)...........and 10 dimes ($1.00)
4 quarters=10 dimes x quarters=85 dimes quarter=10/4 dimes x (10/4 dimes) = 85 dimes x= 85 dimes/(10/4 dimes) x=34 Answer: 34 quarters
15 quarters, 3 dimes
10 dimes 5 quarters
1 quarter and 21 dimes or 3 quarters and 16 dimes or 5 quarters and 11 dimes or 7 quarters and 6 dimes or 9 quarters and 1 dime
130 quarters are in 325 dimes
There are 39 combinations of dimes and quarters that will total 19.75 from 1 quarter and 195 dimes to 77 quarters and 5 dimes.
I believe there are 19 ways to make ten dollars with only quarters and dimes. Quarters have to be in increments of 2 so there would be 2 quarters and 95 dimes, 4 quarters and 90 dimes and so on til there are 38 quarters and 5 dimes.