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Sarah is the director of the marching band she must order 35 new uniforms for the band there are usually five more girls than twice a number of boys in the band how many uniforms of each type should she order for the band.

Respuesta :

absor201

Sarah should order 10 uniforms for boys and 25 uniforms for girls

Step-by-step explanation:

Let b be the number of boys and

g be the number of girls

Then according to given statements

[tex]b+g = 35\ \ \ \ Eqn1\\g = 2b+5\ \ \ Eqn2[/tex]

Putting g = 2b+5 in equation 1

[tex]b + 2b+5 = 35\\3b +5 = 35\\3b+5-5 = 35-5\\3b = 30[/tex]

Dividing both sides by 3

[tex]\frac{3b}{3} = \frac{30}{3}\\b = 10[/tex]

Putting b=10 in equation 2:

[tex]g = 2b+5\\= 2(10)+5\\=20+5\\=25[/tex]

Hence,

Sarah should order 10 uniforms for boys and 25 uniforms for girls

Keywords: Linear equation, variables

Learn more about linear equations at:

  • brainly.com/question/8180193
  • brainly.com/question/7888686

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