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
12345 [234]
2 years ago
11

Alex has a bag of marbles. Each marble is red or blue, and the ratio of red to blue marbles is 3 : 5. After Alex adds 10 red mar

bles to the bag, the ratio of red to blue marbles is 2 : 3. How many blue marbles are in Alex’s bag?
Mathematics
1 answer:
Otrada [13]2 years ago
7 0

Solving a system of equations we will see that there are 150 blue marbles in the bag

<h3>How many blue marbles are in Alex’s bag?</h3>

We know that initially, the ratio of red to blue marbles is 3:5

This means that if there are 8*n marbles in the bag, there are:

  • 3*n red marbles.
  • 5*n blue marbles.

Now, when he adds 10 red marbles, the new ratio is 2:3, this means that if now there are 5*m marbles, we have:

  • 2*m red marbles
  • 3*m blue marbles.

Where we will have two relations, so we have a system of equations:

3*n + 10 = 2*m

8*n + 10 = 5*m

With these two we can find the value of n and m.

To do that, we isolate m in the first equation:

m = (3*n + 10)/2

Now we can replace that in the other equation to get:

8*n + 10 = 5* (3*n + 10)/2

Now we can solve this for n:

2*(8*n + 10) = 5*(3n + 10)

16n + 20 = 15n + 50

n = 50 - 20 = 30

n = 30

And the number of blue marbles is:

5*n = 5*30 = 150

There are 150 blue marbles.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

You might be interested in
Plz help! (due tonight!)
Vilka [71]

Answer:

There will be 9 couples, and 3 lonely girls

Hope this helps

plz like and brainly :D

5 0
3 years ago
Polygons must have which of the following characteristics to be considered similar
Tems11 [23]
They have to be straight line objects with no curves
6 0
2 years ago
Find the point that is 3/4 of the distance P (-6,-5) to the point Q (2,7)
Zarrin [17]

Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:

M - P = 3/4(Q - P)

For the x-coordinate, we have that:

x + 6 = 3/4(2 + 6)

x + 6 = 6

x  = 0.

For the y-coordinate, we have that:

y + 5 = 3/4(7 + 5)

y + 5 = 9.

y = 4.

The coordinates are (0,4).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
1 year ago
Choose one of the factors of 1331x3 − 8y3.
daser333 [38]
B is the answer hope this helps :)
7 0
2 years ago
Read 2 more answers
Which object has the mass of about one kilogram?
stira [4]

Answer:

A dictionary has the mass of about 1 killo so the book!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter t
    5·1 answer
  • the raptors have lost 5 out of their last 11 games.They have not had any ties or forfeits. What is The ratio of wins to losses f
    9·2 answers
  • What is the wavelength of a photon with an every of 3.38x 10^-19 J
    13·1 answer
  • Solve: 6x - 8 -2x = -16 *<br> 1 point<br> x = 2<br> x = 1<br> x = -2<br> x = -1
    7·2 answers
  • The table provides information on road accidents reported to the police for the days in December.
    11·2 answers
  • What is the square root of y^3
    5·1 answer
  • The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is 25 yards, which measurement is close
    13·1 answer
  • Estimate the solution of the system of equations. Write the answer as an ordered pair.
    10·1 answer
  • What is the solution of the equation x + 12.23 = 28.659?<br> X =
    5·1 answer
  • Please i really need help with this
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!