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A bag contains purple marbles and white marble 67 in total the number of purple marbles seven more than two times a number of white marbles how many purple marbles order

Respuesta :

There are 47 purple marbles

Step-by-step explanation:

Let p be the number of purple marbles

and w be the number of white marbles

Then according to given statements

p+w = 67     Eqn 1

p = 2w+7     Eqn 2

Putting p = 2w+7 in eqn 1

[tex]2w+7+w = 67\\3w = 67-7\\3w = 60[/tex]

Dividing both sides by 3

[tex]\frac{3w}{3} = \frac{60}{3}\\w = 20[/tex]

Putting w = 20 in eqn 2

[tex]p = 2(20) + 7\\p = 40+7\\p = 47[/tex]

Hence,

There are 47 purple marbles

Keywords: Linear equations

Learn more about linear equations at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

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