Respuesta :

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The number of miles Josephina ran is 24 miles

  • Let the distance covered by Steve be S.
  • Let the distance covered by Josephina be J.

Given the following data;

  • Total distance = 42 miles

Translating the word problem into an algebraic expression, we have;

[tex]S + J = 42[/tex]  .....equation 1

[tex]S = J - 6[/tex]  ....equation 2

To find how many miles Josephina ran, we would solve the system of equation by using the substitution method;

Substituting eqn 2 into eqn 1, we have;

[tex]J - 6 + J = 42\\\\2J - 6 = 42\\\\2J = 42 + 6\\\\2J = 48\\\\J = \frac{48}{2}[/tex]

Josephina, J = 24 miles

Therefore, Josephina ran 24 miles.

Find more information: https://brainly.com/question/5155890

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