Page 105 - NUMINO Challenge_C2
P. 105
12 Frobenius Coin
Basic Concepts Changing Coins
When using a given number of coins to make the desired amount, use the
method below to change coins and meet the conditions.
Make the desired amount using the given coins regardless of the number
of coins used.
When changing coins to make the desired amount, think of the difference
in the number of coins used to match the given number of coins.
Changing Increase of 1 coin
coins
Difference in
Increase of 4 coins
number of coins
Example Will has nickel, dimes, and half-dollars in his pocket. He has 13
coins and the total amount of the coins is $2.35. How many dimes
does Will have?
Class Notes
When Will makes $2.35 using the least number of coins, he uses 4 half-dollars, 3 dimes,
and nickel(s). The total number of coins used is .
When a half-dollar is changed into 5 dimes, the total number of coins increases by
and becomes .
When a dime is changed into 2 nickels, the total number of coins increases by and
becomes 13.
Therefore, Will has dimes.
Number of half-dollars 4 3 3
Number of dimes 3
Number of nickels 1
Total Number of coins
102 NUMINO Challenge C2
Basic Concepts Changing Coins
When using a given number of coins to make the desired amount, use the
method below to change coins and meet the conditions.
Make the desired amount using the given coins regardless of the number
of coins used.
When changing coins to make the desired amount, think of the difference
in the number of coins used to match the given number of coins.
Changing Increase of 1 coin
coins
Difference in
Increase of 4 coins
number of coins
Example Will has nickel, dimes, and half-dollars in his pocket. He has 13
coins and the total amount of the coins is $2.35. How many dimes
does Will have?
Class Notes
When Will makes $2.35 using the least number of coins, he uses 4 half-dollars, 3 dimes,
and nickel(s). The total number of coins used is .
When a half-dollar is changed into 5 dimes, the total number of coins increases by
and becomes .
When a dime is changed into 2 nickels, the total number of coins increases by and
becomes 13.
Therefore, Will has dimes.
Number of half-dollars 4 3 3
Number of dimes 3
Number of nickels 1
Total Number of coins
102 NUMINO Challenge C2
