Jared drove 3 times as far as Rebecca. altogether they drove 240 miles. how far did they each drive? Show your work.


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Respuesta :

  • Let Rebecca drove=x
  • Jared drove=3x

ATQ

[tex]\\ \sf\longmapsto x+3x=240[/tex]

[tex]\\ \sf\longmapsto 4x=240[/tex]

[tex]\\ \sf\longmapsto x=60[/tex]

  • Rebecca=60mi
  • Jared=240-60=180mi

Let the value of Rebecca drove be a

Given Jared drove = 3a

Let's form a equation –

[tex] \sf \longmapsto \: 3a + a = 240[/tex]

There we have a equation!

Let's start solving.

[tex] \sf \longmapsto \: 3a + 1a = 240[/tex]

[tex] \sf \longmapsto \: 4a= 240[/tex]

[tex]\sf \longmapsto \: a = 240/4[/tex]

[tex]\sf \longmapsto \: a = 60(Rebecca \:drove)[/tex]

  • Solving Further

Let's now find the no. of miles Jared drove.

[tex]\sf \longmapsto \: 240 - 60[/tex]

[tex]\sf \longmapsto \: 180( Jared\: drove)[/tex]

So Jared drove –

  • 180 miles

Rebecca drove–

  • 60 miles