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

According to your study unit, what is the main reason that improved human relations skills may improve your grades?
What is the greatest common factor if 60 and 73?
please help thank you.
about how many people are killed by the terrorist attacks on September 11th 2001. a 1500 b 3000 c 5000 d 6000
Tisha is laying on the floor watching television.
Find g(x), where g(x) is the translation 2 units left and 12 units down of f(x)=10x–10.
According to the endosymbiosis theory, double-membrane mitochondria originated as a result of some larger eukaryotic cells with flexible membranes engulfing sma
How does geography impact culture?
Which challenges do countries face in limiting the spread of communicable diseases?
HELP ME OUT GUYYYSS American support of the Shah eventually lead to_______ at the U.S. Embassy in Iran. The Shah becoming a communist dictator. Iran and Ir