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Elizabeth met 24 of her cousins at a family reunion. the number of male cousins m was 6 less than twice the number of female cousins f . write a system of equations to find the number of male cousins and female cousins​

Respuesta :

absor201

There are 14 male cousins and 10 female cousins.

Step-by-step explanation:

Let,

m be the male cousins and f be the female cousins

According to given statement;

m+f =24   Eqn 1

m= 2f - 6   Eqn 2

Putting value of m in Eqn 1

[tex]2f-6+f=24\\3f=24+6\\3f=30[/tex]

Dividing both sides by 3

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

Putting f=10 in Eqn 1

[tex]m+10=24\\m=24-10\\m=14[/tex]

There are 14 male cousins and 10 female cousins.

Keywords: Linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/7207785
  • brainly.com/question/7265276

#LearnwithBrainly

Answer:

The Padaung are an ethnic group related to the Karen and Karenni, indigenous only to the Kayah State of Burma. They cultivate rice in the mountains just south of the town of Loikaw. There are about 7,000 Padaungs in Burma.

Step-by-step explanation:

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