A candy bowl contained 723 candies. Some of the candies were red and the rest were green. There were twice as many green candies as red candies. How many red candies were in the candy bowl? Write an equation to solve this problem.
Let x = the red candies.
2x + x = 723
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If 2 =241 then
2(241) +241=723
If x =241 then
2(241) +241=723
To solve this problem, let's set up an equation. Let's say the number of red candies in the bowl is "R" and the number of green candies is "G."
According to the problem, the total number of candies in the bowl is 723, and there were twice as many green candies as red candies. We can represent this relationship using the equation:
G = 2R
We also know that the total number of candies in the bowl, which is the sum of red and green candies, is 723. Therefore, we can write another equation:
R + G = 723
Now we have a system of two equations:
G = 2R (1)
R + G = 723 (2)
To solve this system of equations, we can use substitution or elimination method. In this case, let's solve by substitution.
From equation (1), we can replace G with 2R in equation (2):
R + 2R = 723
Combining like terms, we get:
3R = 723
To solve for R, we divide both sides of the equation by 3:
R = 723/3
Calculating the right side, we find:
R = 241
Therefore, there were 241 red candies in the candy bowl.