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January 19, 2017
Posted by **linda** on Monday, May 7, 2012 at 6:40pm.

When i dumped the change out of my pocket, I noticed that i could pay the exact price for any item from one cent up to and through one dollar without receiving any change. What is the fewest number of coins I could have had in my pocket if i had pennies, nickels, dimes, and quarters? What are the coins?

- algebra -
**bobpursley**, Monday, May 7, 2012 at 7:07pm4 pennies

1 nickle

2 dimes

3 quarters - algebra -
**Reiny**, Monday, May 7, 2012 at 7:25pmstart with

4 pennies, 2 nickels , 2 dimes , 3 quarters

covers from

1 to 9 --- 1 nickel, 4 pennies

10 to 14 -- 1 dime, 4 pennies

15 to 19 = 1 dime, 1 nickel, 4 pennies

20 to 24 = 1 dime, 2 nickels 4 pennies OR 2 dimes 4 pennies

25 to 29 --- 1 quarter, 4 pennies

30 to 34 --- 1 quarter, 1 nickel, 4 pennies

35 to 39 ---- 1 quarter, 1 dime, 4 pennies

40 to 44 ---- 1 quarter, 1 nickel, 1 dime, 4 pennies

45-49 -------1 quarter, 2 nickels 1 dime, 4 pennies

50 - 54 ---- 1 quarter, 2 dimes, 1 nickel, 4 pennies

55 - 59 --- 2 quarters, 1 nickel, 4 pennies

60 - 64 ---- 2 quarters, 1 dime, 3 pennies

65 - 69 --- 2 quarters , 1 dime, 1 nickel, 4 pennies

70-74 --- 2 quarters, 2 dimes, 4 pennies

75 -79 -- 2 quarters, 2 dimes, 1 nickel, 4 pennies

80 - 84 --- 2 quarters, 2 dimes, 1 nickel, 4 pennies OR 3 quarters, 1 nickel, 4 pennies

85-89 --- 3 quarters, 1 dime, 4 pennies

90-94 --- 3 quarters, 1 dime, 1 nickel, 4 pennies

95 -99 --- 3 quarters , 2 dimes, 4 pennies

100 ------ 3 quarters, 2 dimes, 1 nickel

to do 95 - 99 with only 2 quarters would need

2 quarters, 4 dimes, 1 nickel, 4 pennies

so I could cover any amount from 1 to 100 with

a) 4 pennies, 2 nickels, 2 dimes, and 3 quarters. for a total of 11 coins

or

b) 4 pennies, 2 nickels, 4 dimes, and 2 quarters for a total of 12 coins

Therefore:

4 pennies

2 nickels

2 dimes

3 quarters or a total of 11 coins - go with bobpursley - algebra -
**Reiny**, Monday, May 7, 2012 at 7:29pmARRGGGHHHH!!!!

looks like I messed up in my 45-49

could be done with 1 quarter, 2 dimes, and 4 pennies.

Nowhere else do we actually need 2 nickels

so as bobpursley said

3 quarters,

2 dimes

1 nickel

4 pennies for a total of 10 coins