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

where does england get its natural resources
What does karyote mean?
What does tengo mean in Spanish?
What city was hephaestus patron of ???
A ratio of 3:1 in the phenotype of an organism occurs when (A) the alleles are incompletely dominant. (B) only recessive traits are involved. (C) only dominant
Which of the following tends to form a cation (positive ion) with a charge of 2+? a. Na b. O c. He d. Mg
What were the causes of the cold war?
Rewrite the following sentences to correct the dangling phrase? please I need help!!!!!!1) Sitting at the kitchen table,dinner was served. 2) Creating a load no
Rewrite the following sentences to correct the dangling phrase? please I need help!!!!!!1) Sitting at the kitchen table,dinner was served. 2) Creating a load no
What were the causes of the cold war?