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.

Question

13-08-2019
Mathematics

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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.

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chisnau chisnau · Answer 1 · 2019-08-14T17:46:47+02:00

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

[tex](t-5)210= 41790[/tex]

Solving for t:

[tex]210t-1050=41790[/tex]

[tex]210t=41790+1050[/tex]

[tex]210t=42840[/tex]

t = 204

So, initial number of trees were 204.

We can check this : [tex]204-5=199[/tex]

[tex]199\times210=41790[/tex]

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Working with 55 we get the wrong answer:

[tex](t-55)210=41790[/tex]

[tex]210t-11550=41790[/tex]

[tex]210t=30240[/tex]

t = 144

We can check this : [tex]144-5=139[/tex]

[tex]139\times210=29190[/tex] (wrong)

polycraft19 polycraft19 · Answer 2 · 2021-03-12T23:39:30+01:00

polycraft19 polycraft19

12-03-2021

Answer:

Equation: 210t - 1050 = 41790

204 orange trees

Step-by-step explanation:

answer is from khan academy

pls brainliest :|

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