In a bag of candy, there are five green candies for every two red candies. If there are 35 total candies in the bag, which of the following is the total number of green candies in the bag?

i solve it but i do not know if is correct,so please can you check if if correct
5x+2x=35
7x=35
x=5, so there are25green candy and 10red.

Looks good to me. Can you not check your answer to make sure it fits all the necessary conditions?

If you randomly select one jar containing two cherry candies, two liquorice candies, and one peppermint candy, What is the probability of selecting a cherry candy?

1/6
1/5
1/3
2/5

Your calculations are correct!

Let's go through the step-by-step process to solve the problem:

1. Let's assume the number of green candies is represented by the variable "x".
2. According to the problem, there are five green candies for every two red candies. So, the number of red candies can be represented by (2/5) times the number of green candies, which is (2/5)x.
3. The total number of candies in the bag is given as 35, so we can set up an equation:
x + (2/5)x = 35
4. Simplify the equation:
(7/5)x = 35
5. Multiply both sides of the equation by (5/7) to isolate "x":
x = (35 * 5) / 7
6. Simplify the equation:
x = 25
7. Therefore, there are 25 green candies in the bag.

So, your solution of having 25 green candies and 10 red candies is correct!

To solve this problem, you correctly set up the equation 5x + 2x = 35, where x represents the unknown ratio between green and red candies.

Next, combine like terms to get 7x = 35. Then, divide both sides of the equation by 7 to isolate x, which gives you x = 5.

Since x represents the ratio of green candies to red candies, when x = 5, this means there are 5 green candies for every 2 red candies.

To find the total number of green candies, multiply the ratio by the number of sets: 5 * 5 = 25. Therefore, the total number of green candies in the bag is 25, which matches your answer.

You can also double-check by finding the total number of red candies: 2 * 5 = 10. So, there are 10 red candies, which confirms that your calculations are correct!