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What is the fewest number of coins you would need in order to make change for any amount of money between one cent and one dollar?

What is the fewest number of coins you would need in order to make change for any amount of money between one cent and one dollar?

You need at least 1 nickel, since you want to get 5 as a change. It isn’t optimal to have more than 1 nickel. Instead of 1+x nickels, you can have 1 nickel and x dimes – they span at least the same range. So you have exactly 1 nickel.

How do you count quarters dimes nickels and pennies?

For example, a quarter dollar can be made from two dimes plus one nickel. Each dime is worth 10¢ and the nickel is worth 5¢. 10 + 10 + 5 = 25 and so two dimes plus a nickel add up to make 25¢….Counting American Coins

  1. A one cent coin is worth 1¢
  2. A nickel is worth 5¢
  3. A dime is worth 10¢
  4. A quarter is worth 25¢
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How much is 2 dimes and a nickel?

Counting Money

A B
9 dimes + 1 nickel = 95 cents
4 nickels + 2 dimes = 40 cents
20 pennies + 2 dimes = 40 cents
50 pennies = 50 cents

How many coins make 98 cents?

Counting with Dollars and Coins!

A B
$.36 1 dime, 5 nickels, 1 penny
$.98 2 quarters, 4 dimes, 1 nickel, 3 pennies
$.56 2 dimes, 3 nickels, 21 pennies
$3.08 2 dollars, 4 quarters, 1 nickel, 3 pennies

What is a penny nickel dime quarter?

A penny is worth 1 cent. A nickel is worth 5 cents. A dime is worth 10 cents. A quarter is worth 25 cents.

How many dimes are in a quarter?

Use pennies (1¢), nickels (5¢), dimes (10¢) and/or quarters (25¢). #1, #2, #3, #4, #5, #6, #7, #8, #9. Write the values of the coins in each circle so that they equal the money total.

What is the minimum number of coins that must be reversed Java?

The Problem Assume that we are given a set of coins having the values {1, 3, 6}. To make a sum of 7 using these coins, all possible solutions are: {1,1,1,1,1,1,1}, {1,3,3}, and {1,6}. So the minimum number of coins required are 2, i.e. {1,6}.

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How many pennies would it take to make 3 quarters?

This means you have 4 pennies, 1 nickel and at least 2 dimes. If you had less than 10 coins, you would have less than 3 quarters. But then the maximal possible change you could get using all coins is 4 + 5 + 20 + 50 = 79, not enough. This means you have at least 10 coins.

How many Dimes do you need to get 20 pennies?

You need at least 2 dimes, since you want to get 20. This means you have 4 pennies, 1 nickel and at least 2 dimes. If you had less than 10 coins, you would have less than 3 quarters. But then the maximal possible change you could get using all coins is 4 + 5 + 20 + 50 = 79, not enough.

How many pennies can you make in a coin game?

The coins can only be pennies (1), nickels (5), dimes (10), and quarters (25), and you must be able to make every value from 1 to 99 (in 1-cent increments) using those coins.

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How many coins do you need to make 1 cent change?

Find the least number of coins required that can make any change from 1 to 99 cents. The coins can only be pennies (1), nickels (5), dimes (10), and quarters (25), and you must be able to make every value from 1 to 99 (in 1-cent increments) using those coins.