Once each year, Patrick adds 20 new chickens to his farm and Tobias ad

Question

Once each year, Patrick adds 20 new chickens to his farm and Tobias adds 10 to his. If no chickens are removed from the farms, the size of Tobias’ chicken farm will have doubled in six years, at which point Patrick will have ten more than three times as many chickens as Tobias. How many more chickens than Tobias does Patrick have right now?

A. 100
B. 130
C. 190
D. 250
E. 310

A. 100
B. 130
C. 190
D. 250
E. 310

quantumliner · Answer

Let Patrick currently have = P Chickens
In six years Patrick will have = P+120 chickens

Let Tobias currently have = T Chickens
In six years Tobias will have = T+60 chickens

Given: The size of Tobias’ chicken farm will have doubled in six years

T+60 = 2T
T=60

P+120 = 3*(T+60) + 10
P+120 = 3*(60+60)+10
P+120 = 360+10
P = 370-120 = 250

How many more chickens than Tobias does Patrick have right now = 250 - 60 = 190

Answer is C. 190

rohit8865 · Answer

quantumliner

Please share your thoughts on above highlighted

i m getting 370-120= 250
Ans D

quantumliner · Answer

rohit8865

After doing the calculation, 
in the beginning Patrick has 'P' chickens = 250
in the beginning Tobias has 'T' chickens = 60

Hence the difference is 250-60 = 190.

Tobias will have 120 chickens after 6 years.

RMD007 · Answer

P adds 20, T adds 10

After 6 years T6 = T + 60 = 2T ; T(Now) = 60; T(6) = 120

P(6) = P + 120;
P(6) = 120*3 + 10 = 370;
P(Now) = 250

Difference = 190.

ScottTargetTestPrep · Answer

We can let x = the current number of chickens in Tobias’s farm. Since we are given that he adds 10 chickens to his farm each year and the number of chickens will double in 6 years, we can create the following equation to determine x:

x + 6(10) = 2x

60 = x

So we know Tobias has 60 chickens currently, and in six years, he will have 120 chickens.

We can let y = the current number of chickens on Patrick’s farm. Since we are given that he adds 20 chickens to his farm each year and the number of chickens he will have in 6 years is ten more than three times as many chickens as Tobias will have, we can create the following equation to determine y:

y + 6(20) = 3(120) + 10

y + 120 = 370

y = 250

Therefore, Patrick currently has 250 - 60 = 190 chickens more than Tobias.

Answer: C

Oppenheimer1945 · Answer

The question stem should be worded in a more comprehensive manner.

How many more chickens than Tobias does Patrick have right now

To

How many more chickens than Tobias does Patrick have at the “start”

Posted from my mobile device

Bunuel · Answer

All these chicken additions are hypothetical and planned for the future. Therefore, "right now" actually means "at the start," before these additions occur.

HridhayKapoor · Answer

This question is mis-tagged its by no means an overlapping sets question

Bunuel · Answer

_____________________
Fixed the tag. Thank you!

HridhayKapoor · Answer

No, Thank you ! 🐐

Once each year, Patrick adds 20 new chickens to his farm and Tobias ad

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