lily plants 80 seeds in her garden. Half of them are carrots. The rest are pumpkins and radishes. There are 6 more pumpkin seeds than radish seeds. How many radish seeds are there? How many carrot and radish seeds does Lily plant?

radish seeds --- x

pumpkins ----- x+6

x + x+6 + 40 = 80

solve for x

To find the number of radish seeds, we can first find the number of pumpkin seeds. We know that there are 6 more pumpkin seeds than radish seeds. Let's assume the number of radish seeds is "x."

So, the number of pumpkin seeds would be "x + 6."

Now, let's add the number of carrot, pumpkin, and radish seeds to get the total number of seeds:

Carrot seeds + Pumpkin seeds + Radish seeds = Total seeds

We know that the total number of seeds is 80, and half of them are carrots. So, the number of carrot seeds is 80/2 = 40.

Now, substituting the values, we have:

40 + (x + 6) + x = 80

Combine like terms:

2x + 46 = 80

Subtract 46 from both sides:

2x = 34

Divide by 2:

x = 17

Therefore, there are 17 radish seeds.

To find the number of carrot and radish seeds, we can add the number of carrot seeds and radish seeds:

Carrot seeds + Radish seeds = 40 + 17 = 57

Therefore, Lily plants 57 carrot and radish seeds.