There are 20 red beans in the jar

10 fewer white than yellow
half as many orange than red
10 more black than green
twice as many yellow as red
5 fewer green as red

please check:
10 orange
15 green
25 black
40 yellow
25 pink
30 white

correct.

To check the given quantities of each color bean, we can break down the information provided and calculate it step by step.

1. Given: There are 20 red beans in the jar.
Therefore, we know there are 20 red beans.

2. Given: There are 10 fewer white beans than yellow beans.
Since the number of yellow beans is not provided, we cannot determine the exact number of white beans.

3. Given: There are half as many orange beans as red beans.
If there are 20 red beans, then there would be half as many orange beans, which is 20/2 = 10 orange beans.

4. Given: There are 10 more black beans than green beans.
If we let the number of green beans be x, then the number of black beans would be x + 10.

5. Given: There are twice as many yellow beans as red beans.
If there are 20 red beans, then there would be twice as many yellow beans, which is 20 x 2 = 40 yellow beans.

6. Given: There are 5 fewer green beans than red beans.
If green beans are x, then red beans would be x + 5.

Using this information, let's calculate the quantities of each color bean:
- Red beans: 20
- White beans: Unknown (since the number of yellow beans is not given, we cannot determine the exact number of white beans)
- Orange beans: 10 (half of the number of red beans)
- Green beans: x (unknown, since x + 5 is not given)
- Black beans: x + 10 (10 more than the number of green beans)
- Yellow beans: 40 (twice the number of red beans)
- Pink beans: Unknown (pink beans are not mentioned in the given information)

Since we have missing information regarding white and pink beans, we cannot accurately check if the given quantities of 15 green, 25 black, 40 yellow, and 30 white are correct.