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
Zolol [24]
2 years ago
9

How to answer this? A farmer had 455 ducks and chickens. He sold 2/5 of the ducks and bought another 104 chickens. As a result,

the number of ducks is 2/3 the total number of animals in the end. (a)Find the number of chickens the farmer had at first. (b)Each duck is sold at a price of $28. How much did the farmer collect from the sale?
Mathematics
1 answer:
julia-pushkina [17]2 years ago
7 0

Answer:

(a) 25

(b) $4816

Step-by-step explanation:

Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.

Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d

After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c

Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a

The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a

Let's list our equations out so it is easier to solve:

d+c = 455

(3/5)d + 104 + c = a

(3/5)d = (2/3)a

We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.

Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get

(3/5)d + 104 + 455 - d = a

-(2/5)d + 559 = a

(3/5)d = (2/3)a

Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get

(9/10)d = a

Substitute that in to the second equation to get

-(2/5)d + 559 = (9/10) d

-(4/10)d + 559 = (9/10) d

add (4/10)d to both sides to isolate the variable and its coefficient

(13/10)d = 559

multiply both sides by (10/13) to isolate the coefficient

d = 430

Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25

For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price

You might be interested in
Which expression is equivalent to
taurus [48]

Answer:

d

Step-by-step explanation:

7 0
3 years ago
HELPPP A GIRL OUT pleaseeee
spayn [35]

Answer:

i think is b sorry if im wrong

3 0
2 years ago
Do any of them you know
snow_tiger [21]

Answer:

I believe I am correct.

1: slope

2: linear equation

3: y-intercept

4: slope-intercept form

5: y-intercept is (0,6) the slope is -2

6: y-intercept is (0,3.4) the slope is 10/6

7: y-intercept is (0,4) the slope is -4/16

Hope this works for you Jack Jiang.

5 0
3 years ago
Solve the system of equations:
Nutka1998 [239]

Answer:

x=

1

3

y+

17

3

Step-by-step explanation:

This is all i can get so far, <em>if can improve opon this let me know</em>

7 0
1 year ago
Es5sdrdrrufrftfutyttf
Mrac [35]

Answer:

coordinate plane,

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the solution for s in A=ys+y
    8·1 answer
  • 16 inches to centimeters
    10·2 answers
  • How would you explain this ?
    8·1 answer
  • -3 (4+3x)= -(3x - 48). need to solve for x
    12·1 answer
  • Marta wants to purchase charms for her necklace. Each charm cost $1.59. She wants to spend no more than $20 for the charms. Whic
    12·1 answer
  • L
    6·1 answer
  • I NEED TO GET THIS DONE BEFORE THE 8TH <br> I forgot how to do this can I get some help.
    5·1 answer
  • Which of the following could be appropriate values for an equation to be in standard form
    5·1 answer
  • When you rewrite the general Standard form equation in slope-intercept form, y = mx + b, you can see
    12·1 answer
  • Which factorization could represent the number of water bottles and weight of each water bottle?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!