ochristian79891
ochristian79891 ochristian79891
  • 23-01-2022
  • Mathematics
contestada

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?

Respuesta :

kayla71807
kayla71807 kayla71807
  • 23-01-2022

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

Answer Link

Otras preguntas

A group of students attend a math club. Half of the students are boys and 4/9 of the boys have brown eyes. What fraction of the group are boys with brown eyes?
what was the United States navy's contribution to the war
Walking Speed and City Population: As the population of a city increases, the pace of life also increases. The formula W = 0.35 ln P + 2.74 models average walki
what is bigger 2/3 or 4/5 or
the main purpose of the turbine in the turbojet engine is to? A. reduce the temperature of the exaust gas. B. increase the velocity of the exaust gasses. C. com
The Staggering Cost Of Alcohol Related Collisions Are Greater Than The Gross National Product (GNP)________of The 150 Nations For Which GNP Is Calculated?
Any variation that can help an organism survive in its environment is called a(n):
what is the answer to 2x^2 - 3x - 15 = 5
what is .1664 as fraction?
Simplify completely: