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
rodikova [14]
2 years ago
15

There are 2 boys for every 3 girls. Today 5 new boys were added making the number of girls and boys the same. How many boys and

girls were there originally?
Mathematics
1 answer:
Anna11 [10]2 years ago
5 0

Answer:

10 boys, 15 girls

Step-by-step explanation:

Original ratio: 2 boys/3 girls

let x be the scale factor of the ratio

2x plus 5 boys over 3x girls = 1 (because the # of boys/girls are the same)-------> 2x+5/3x = 1

Simplify: 2x+5=3x

Simplify: 5=x

plug x back into the original ratio: 10/15

Check: 10/15 = 2/3

10 boys + 5 boys = 15, 15/15 = 1

You might be interested in
Christine buys 7 hamburgers and 3 sodas for $27.95. Laura buys 5 hamburgers and 4 sodas for $23.40. How much does a hamburger co
Naddika [18.5K]
7h+3s=27.95 subtract 7h from both sides

3s=27.95-7h  divide both sides by 3

s=(27.95-7h)/3

Then we are told:

5h+4s=23.4,  using s found above makes this equation become:

5h+4(27.95-7h)/3=23.4  multiply both sides by 3

15h+4(27.95-7h=70.2  perform indicated multiplication on left side

15h+111.8-28h=70.2 combine like terms on left side

-13h+111.8=70.2 subtract 111.8 from both sides

-13h=-41.6  divide both sides by -13

h=$3.20
5 0
3 years ago
Which statement describes a positive effect of selective breeding?​
katrin2010 [14]
B, because people do selective breeding to get something they want out of it. Which decreases genetic diversity, genetic diversity meaning there being less and less traits and characteristics and we wont something perfect not exactly something with traits that we dont like. However dont get me wrong, nothings perfect. But yeah.
4 0
2 years ago
Read 2 more answers
Can you helo me with number 8?​
kow [346]

Answer:

all work is shown and pictured

8 0
3 years ago
Read 2 more answers
Find the solution of (x+2)^2 +2=6 by using square roots method​
kogti [31]

Answer:

  • (x + 2)² +2 = 6
  • (x + 2)² = 4
  • √(x + 2)² = √4
  • x + 2 = ± 2
  • x = -2 ± 2
  • x = -4, x = 0
4 0
3 years ago
The parallelogram shown below has an area of 21 units.<br><br> Find the missing height.
nlexa [21]

Answer:

8

544+65+6+6+646546141

8 0
3 years ago
Read 2 more answers
Other questions:
  • Translate to an equation and solve: The sum of two-fifths and f is one-half.<br> Provide<br> f=
    5·1 answer
  • What is 9 whole and 1/6 minus 4wholes and 5/6
    6·2 answers
  • Suppose a circle with center (14, 9) passes through point (16, 12). Which equation represents the circle?
    6·1 answer
  • a bottling machine can fill 300 bottles in 5 minutes at this rate how many bottles can be filled in 8 minutes
    7·2 answers
  • She earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last week Giselle worked both jobs for a total of 30 hou
    12·2 answers
  • There are exactly five rows with two primes in them. Which rows are these?
    6·1 answer
  • Someone please help me in math
    10·2 answers
  • Find the total surface area of the triangular prism
    10·1 answer
  • Complete the following statement.
    11·1 answer
  • Hi!!! can somebody please help, all of my work is due today and im struggling ​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!