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
Ahat [919]
3 years ago
5

David helped his father stock the pond with baby catfish and blue gill. They put in a total of 75 fish. If the number of blue gi

ll was doubled and the number of catfish tripled, there would be 175 fish in the pond. How many catfish were put in the pond?
Mathematics
2 answers:
lana [24]3 years ago
6 0
x-\ amount\ of\ catfish\\\\
y-\ amount\ of\ blue\ gill\\\\\ 
 \left \{ {{x+y=75} \atop {2y+3x=175}} \right. |using\ substitution\ method:\ x=75-y\\\\
2y+3(75-y)=175\\
2y+225-3y=175\\
-y=-50\ \ |*(-1)
y=50\\
x=75-50=25\\
there\ were\ 25\ catfish\ put\ in\ the\ pond
serious [3.7K]3 years ago
4 0
You have to work this out through a process of trial and error. Firstly, let's start simple, by dividing the 175 by 5. 5 because if the number of blue gill is doubled and catfish tripled, there will be five groups rather than two, three of the groups being identical, and the other two also being identical.

175/5 = 35
35 x 2 = 70 x

As you can see, this hasn't worked, as the original amount ends up being 70 rather than 75. Now try again. Split the 175 up into two numbers, one that is divisible by three, the other that is divisible by two. For example, 100 and 75.

100/2 = 50
75/3 = 25
50 + 25 = 75

This way worked, though usually you might have to go on guessing for quite a while. The original amount of catfish in the pond would be 25 (because the number of catfish was tripled and the 75 was divided by three).
So yeah, the answer's 25. Hope that helped. Let me know if there's anything I need to explain better ;)
You might be interested in
The 25th percentile for waiting time in a doctor's office is 19 minutes. the 75th percentile is 31 minutes. the interquartile ra
Gennadij [26K]
Wheres the rest of the question? 
6 0
4 years ago
In the figure below, C is between A and D, and B is the midpoint of AC. If AD=20 and BC=6, find CD.
Leokris [45]

Answer:

8

Step-by-step explanation:

AC and BC are the same, so both equal 6

6+6 is 12

Subtract 12 from 20

20-12=8

CD is 8

8 0
3 years ago
Read 2 more answers
Middle school math with pozzazzi! Book C C-31 what did the football coach send in a bunch of second string players?
Tamiku [17]

Answer:

Step-by-step explanation:

3 0
3 years ago
1/2% of 412<br> with work
Trava [24]

Answer:

1.5% x 412 = 618?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Whats the leastf 3/4, 4/5, and 2/3
timurjin [86]

Answer: 2/3

Step-by-step explanation: convert to same unit. 45/60, 48/60, 40/60

40/60<45/60<48/60

so 2/3 is least

4 0
3 years ago
Other questions:
  • It costs $6 per pound for peanuts at Blessed Food Market. Which of the following represents the range of the function in terms o
    11·1 answer
  • Please help. The graph of f(t)=6•2^t shows the value of a rare coin in year t. What is the meaning of the y-intercept?
    6·2 answers
  • When you find the<br> median of a set of data,<br> what quartile would this<br> number be?
    5·1 answer
  • A 5,8<br> b 6,7<br> c 7,6 <br> d 8,5
    9·1 answer
  • What is an equation of the line that passes through the points (-7, 3)<br> and (-4, 3)?
    5·1 answer
  • Someone actually please help me thank you
    7·2 answers
  • Hi I need help with this problem it called area quiz for 7th grade honors math class can you help
    9·1 answer
  • Help SOS Stevie needed twine for the gifts she was wrapping for a family party.
    9·1 answer
  • 5.
    11·1 answer
  • For the real-valued functions f(x)=2x+3 and g(x)=√x-5, find the composition fog and specify its domain using interval notation.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!