Answer:
4 trees and 76 acorns.
Step-by-step explanation:
Let the amount of trees be x.
[tex]18x+4=20x-4\\\\\implies2x=8\\\\\implies x=4[/tex]
There are 4 trees, and there are [tex]18x+4[/tex] acorns or 76 acorns.
Hope you have a nice day, and also you should mark brainliest :)
Answer:
76 acorns and 4 trees
Step-by-step explanation:
Let X be the number of acorns (a) Ms. Blue Jay plans to store.
We are told that she could hide 18 acorns (a) per tree (t) which we'll write as 18a/t. This would result in 4 leftover acorns.
We then learn that if she hides 20 acorns per tree, 20a/t, she will have space for an extra four acorns.
There are t trees in both cases. We can write these two scenarios as:
1) 18t + 4 = X [18 acorns are in each tree, t, plus there are 4 left over.]
2) 20t -4 = X [20 acorns per tree, t, with room to store 4 more]
These two are equal to each other:
18t + 4 = 20t - 4
2t = 8
t = 4
There are 4 trees.
Since 18t+4 = X, the total number of acorns is18*4+4 = 76 acorns and 4 trees.
Check to see if 76 acorns works for the second scenario:
Will hiding 20 acorns per tree leave room for 4 acorns if there are 76 acorns?
(4 trees)*(20 acorns/tree) = 80 acorns can be stored. If Ms. Jay only has 76 acorns, there will be room for 4 more acorns.
