After playing a game of Rags and Riches, Andy won 3 times as many gold coins as Greta. Greta won half as many gold coins as Drew. Altogether they won 60 gold coins. How many gold coins did Andy win?
a = 3g
g = d/2
a+g+d = 60
now finish it off
It’s 30 k
To find out how many gold coins Andy won, let's work through the information given step by step.
Let's assume that Greta won x gold coins. According to the problem statement, Andy won 3 times as many gold coins as Greta. Therefore, Andy won 3x gold coins.
It is also stated that Greta won half as many gold coins as Drew. Let's assume that Drew won y gold coins. Therefore, Greta won y/2 gold coins.
The total number of gold coins won by Andy, Greta, and Drew is given as 60. We can add up the number of coins won by each person to get:
3x + (y/2) + y + x = 60
To solve this equation, we need to express all variables in terms of a single variable. Let's choose x as our variable.
Rearranging the equation, we have:
3x + y/2 + y + x = 60
4x + (3/2)y = 60
Now, we need to use the given information that Greta won half as many gold coins as Drew. This means y = 2(x), or y = 2x.
Substituting this value into the equation, we have:
4x + (3/2)(2x) = 60
4x + 3x = 60
7x = 60
x = 60/7
Therefore, Greta won x = 60/7 gold coins. Now we can calculate how many gold coins Andy won, which is 3 times Greta's gold coins:
Andy's gold coins = 3 * (60/7) = 180/7
Thus, Andy won 180/7 gold coins, which is approximately 25.71 gold coins (rounded to two decimal places).