Respuesta :
Let t = initial number of trees "remove 5 trees at the start of the season" means (t - 5) remain "each remaining tree made 210 oranges for a total of 41,790 oranges" means ( t - 5) * 210 = 41790 Now, you can solve for t: (t-5)(210) = 41790 [just re-writing] 210t - 1050 = 41790 [distribute] 210t = 42840 [add 1050 to each side] t = 204 [divide each side by 210] There were initially 204 trees. After 5 were removed, the remaining 199 produced 210 oranges each for a total of 199*210 = 41790 oranges.
Answer:
Equations: f(t) = 210(t-5)
Initial number of trees(t) = 204
Step-by-step explanation:
Let t represents the initial number of trees and f(t) represents the total number of oranges.
"Remove 5 orange trees from his farm" means (t-5)
" Each of the remaining trees produced 210 oranges" means [tex]210\cdot (t-5)[/tex]
so, the equation become [tex]f(t) = 210 \cdot (t-5)[/tex]
Also, it is given that total harvest of, 41790 oranges.
⇒f(t) = 41790
Substitute this in the above equation to get t;
[tex]41790 = 210(t-5)[/tex]
Divide both sides by 210 we get;
[tex]199 = t-5[/tex]
Add 5 both sides of an equation we get;
199 + 5 = t-5 + 5
Simplify:
204 = t
Therefore, there were initially 204 orange trees
