Question

At the beginning of the season, MacDonald had to remove 555 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges. Write an equation to determine the initial number of orange trees (t) on MacDonald's farm.

Answer 1

Answer:

Initial number of trees were 204.

Step-by-step explanation:

555 must be a typo error. The question will not produce correct answer. I worked out with 55 but the answer is wrong. So, the number is 5.

Lets say MacDonald removed 5 orange trees from his farm.

Let t be the initial number of trees

After removing 5 trees, the remaining left are t-5 trees

As given - Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges. This means

$(t-5)210= 41790$

Solving for t:

$210t-1050=41790$

$210t=41790+1050$

$210t=42840$

t = 204

So, initial number of trees were 204.

We can check this : $204-5=199$

$199\times210=41790$

------------------------------------------------------------------------------------------

Working with 55 we get the wrong answer:

$(t-55)210=41790$

$210t-11550=41790$

$210t=30240$

t = 144

We can check this : $144-5=139$

$139\times210=29190$  (wrong)