Lily plants 80 seeds in her garden. Half of them are carrots. The rest are pumpkins and radishes. There are 6 more pumpkin seed than radish seeds.
a. How many radish seeds are there?
b. How many carrot and radish seeds does Lily plant?
carrots --- 40
radish -- x
pumk -- x+6
x + x+6 = 40
2x = 34
x = 17
state conclusion.
I'm stuck on the same problem, lol.
To solve this problem, let's break it down step by step:
a. How many radish seeds are there?
We know that half of the 80 seeds are carrots, so the number of non-carrot seeds is 80 / 2 = 40.
Let's assume the number of radish seeds is x. Given that there are 6 more pumpkin seeds than radish seeds, we can represent the number of pumpkin seeds as (x + 6).
The sum of radish seeds and pumpkin seeds should equal the number of non-carrot seeds: x + (x + 6) = 40.
Combining like terms, we have 2x + 6 = 40.
Subtracting 6 from both sides, we get 2x = 34.
Dividing both sides by 2, we find x = 17.
Therefore, there are 17 radish seeds in Lily's garden.
b. How many carrot and radish seeds does Lily plant?
We already established that half of the 80 seeds are carrots, so there are 80 / 2 = 40 carrot seeds.
Adding the number of radish seeds (17) to the number of carrot seeds (40), we find that Lily planted a total of 40 + 17 = 57 carrot and radish seeds.