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

container is 5 meters wide ,6meters long and 3 meters in depth what is the capacity in quarts
solve using the substitution and elimination method 3a-12b=9 4a-5b=3 can someone please help?
solve using the substitution and elimination method 3a-12b=9 4a-5b=3 can someone please help?
solve using the substitution and elimination method 3a-12b=9 4a-5b=3 can someone please help?
what is 0.000702 in scientific notation.
what is the solution for this inequality -10x <40
container is 5 meters wide ,6meters long and 3 meters in depth what is the capacity in quarts
How is 'hearing' a motif in the novel A Separate Peace by John Knowles?
Why are the irish famous for drinking?
Iliada went to Minewaska state park one day this summer. All of the people at the park were either either hiking or bike riding. There are 178 more hikers than