Answer:56
Explanation:
Let ttt be the initial number of trees.
Hint #22 / 5
MacDonald now has t-5t−5t, minus, 5 trees and each one produced 210210210 oranges this harvest.
The total number of oranges produced is 210(t-5)210(t−5)210, left parenthesis, t, minus, 5, right parenthesis.
Hint #33 / 5
Since the trees produced a total of 417904179041790 oranges, let's set this equal to 417904179041790:
\qquad210(t-5)=41{,}790210(t−5)=41,790210, left parenthesis, t, minus, 5, right parenthesis, equals, 41, comma, 790
Now, let's solve the equation to find the initial number of trees (t)(t)left parenthesis, t, right parenthesis.
Hint #44 / 5
\begin{aligned}210(t-5)&=41790\\&\\ \dfrac{210(t-5)}{\blue{210}}&=\dfrac{41790}{\blue{210}}&&\text{divide both sides by $\blue{210}$}\\ \\ t-5&=199\\ \\ t-{5}\pink{+5}&=199\pink{+5}&&\pink{\text{add }} \pink{5} \text{ to both sides}\\ \\ t&=204\end{aligned}
210(t−5)
210
210(t−5)
t−5
t−5+5
t
=41790
=
210
41790
=199
=199+5
=204
divide both sides by 210
add 5 to both sides
Hint #55 / 5
The equation is 210(t-5)=41790.210(t−5)=41790.210, left parenthesis, t, minus, 5, right parenthesis, equals, 41790, point
MacDonald's farm initially had 204204204 orange trees.
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