greg has 2 quarter, 1 dim, and 3 nicles. stan has 3 quarters, 2 dimes, and 2 nickles. how can they share the coins so that they both have the same amount of money
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they have
5 * 25 + 3 * 10 + 5 * 5 = 125+30+25 = 180 cents
So each gets 90 cents
greg has
2 * 25 + 1 * 10 + 3 * 5 = 75 cents
stan has
3 * 25 + 2 *10 + 2 * 5 = 105 cents
stan must give greg 15 cents, a dime and a nickel
To find a way for Greg and Stan to share the coins so that they both have the same amount of money, we need to determine the value of the coins for each person.
First, let's find the total value of Greg's coins:
- 2 quarters: Each quarter is worth $0.25, so 2 quarters = 2 * $0.25 = $0.50
- 1 dime: Each dime is worth $0.10, so 1 dime = 1 * $0.10 = $0.10
- 3 nickels: Each nickel is worth $0.05, so 3 nickels = 3 * $0.05 = $0.15
The total value of Greg's coins is $0.50 + $0.10 + $0.15 = $0.75.
Now, let's find the total value of Stan's coins:
- 3 quarters: Each quarter is worth $0.25, so 3 quarters = 3 * $0.25 = $0.75
- 2 dimes: Each dime is worth $0.10, so 2 dimes = 2 * $0.10 = $0.20
- 2 nickels: Each nickel is worth $0.05, so 2 nickels = 2 * $0.05 = $0.10
The total value of Stan's coins is $0.75 + $0.20 + $0.10 = $1.05.
We can see that Greg has a total of $0.75 and Stan has a total of $1.05. To make both amounts equal, they need to have the same total value of coins.
To achieve this, Greg can give 3 nickels ($0.15) to Stan, and Stan can give 2 dimes ($0.20) and 1 nickel ($0.05) to Greg.
After the exchange, Greg will have 2 quarters, 1 dime, and 2 nickels, which equals $0.50 + $0.10 + $0.10 = $0.70.
Stan will have 3 quarters, 1 dime, and 1 nickel, which equals $0.75 + $0.10 + $0.05 = $0.90.
Now, both Greg and Stan have the same amount of money, which is $0.70.