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Mathematics : asked on chaayap1985
 18.09.2020

A farmer share 496 tomatoes among her 3 workers, Peter gem and Tom. Peter received x tomatoes, gem received 16 more than Peter and Tom received 3 times as many as Peter.

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15.01.2023, solved by verified expert
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Rajat Thapa
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Mathematics, DAV Post Graduate College
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Answer:

Peter received 96 tomatoes.
Gem received 112 tomatoes.
Tom received 288 tomatoes.

Step-by-step explanation:

Given that :

Total number of tomatoes = 496

Number of tomatoes Peter received = x

Number of tomatoes Gem received = x + 16

Number of tomatoes Tom received = 3x

So, according to the question, 

x + (x + 16) + 3x = 496

5x + 16 = 496

5x = 480

Thus, 

x = 480/5 = 96

So, 

Peter received 96 tomatoes. 

Gem received 96 + 16 = 112 tomatoes.

Tom received 3 × 96 = 288 tomatoes. 

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Faq

Mathematics
A farmer share 496 tomatoes among her 3 workers, Peter gem and Tom. Peter received x tomatoes, gem received 16 more than Peter and Tom received 3 times as many as Peter. (A) write an expression in terms of X to represent the total number of tomatoes received by the workers. (B) write an equation to show the total amount of tomatoes that was shared by the to her 3 workers. (C) determine the value of X.
Step-by-step answer
P Answered by Master

Answer:

Please, see below:

Step-by-step explanation:

Given that :

Total number of tomatoes = 496

Number of tomatoes Peter received = x

Number of tomatoes Gem received = x + 16

Number of tomatoes Tom received = 3x

A) 

according to the question, 

Total number of tomatoes = x + (x + 16) + 3x = 5x +16.

B) 

Equation:

5x + 16 = 496

5x = 480

C) for the value of x 

x = 480/5 = 96

x = 96

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