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Vilka [71]
3 years ago
13

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.
Mathematics
1 answer:
nevsk [136]3 years ago
8 0

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)

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