1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
steposvetlana [31]
3 years ago
12

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

ducks left. How many chickens did the farmer have at first
Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Answer:

The farmer have at first <u>202</u> chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be x.

And, the ducks be y.

<em>As, the farmer had twice as many chickens as ducks on his farm.</em>

So, x=2y    ......(1)

<em>As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.</em>

According to question:

x-166=(y-29)\times \frac{1}{2}

x-166=\frac{y-29}{2}

Substituting the value of x from equation (1) we get:

2y-166=\frac{y-29}{2}

<em>By cross multiplying we get:</em>

4y-332=y-29

<em>Adding both sides 332 we get:</em>

4y=y+303

<em>Subtracting both sides by </em>y<em> we get:</em>

3y=303

<em>Dividing both sides by 3 we get:</em>

y=101.

Now, to get the number of chickens substituting the value of y in equation (1):

x=2y\\\\x=2\times 101\\\\x=202.

Therefore, the farmer have at first 202 chickens.

You might be interested in
Simplify the expression. 6nx+7p-14p+2nx-6x
Artist 52 [7]
The simplified version would be 8nx - 7p - 6x 
5 0
3 years ago
Divide $200 in the ratio 3:2 what is the result?
Paul [167]
$120 and the ratio is 3:2
$200 6:4 and half
8 0
3 years ago
Read 2 more answers
Find the value of X. Show your work.<br><br> Congruent triangle
Stells [14]

Answer:

x = 3

Step-by-step explanation:

exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

97 + x = 64 + 27

x = 97 - 64 - 27 = 6

5 0
2 years ago
Read 2 more answers
Clare spent $5.17 on apples. How many pounds of apples did Clare buy?
ZanzabumX [31]

Answer: complete the question please

Step-by-step explanation:

How much is a pound/lb? Then do 5.17 divided by (however much is a pound/lb)

6 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
vampirchik [111]

Answer:

26 degrees

Step-by-step explanation:

90-64=26

Hope this helps!

6 0
3 years ago
Other questions:
  • Which statement correctly describes the relationship between the graph of f (x) = 2x and the graph of g (x) = f (x) − 4?
    6·1 answer
  • What algebraic expression shows the sum of 8 and x divided by 7
    10·1 answer
  • Need so much help please
    11·1 answer
  • What 57% of 690? Help me find the percentage!!
    14·2 answers
  • Which value is a solution to the inequality 2x-5&lt;-12?
    6·2 answers
  • It's timed NEED HELP ASAP! Find the measure of the exterior angle X
    14·2 answers
  • WILL GIVE BRAINLIEST
    8·1 answer
  • Find the mean of the data in the dot plot below.
    8·1 answer
  • A bag contains green marbles and red marbles, 43 in total. The number of green
    13·1 answer
  • If you want to calculate a z score for a test where your raw score was 24, what other information must you know
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!