dkennedy012120oy904u
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When sales representatives for a pharmaceutical company drive out of town meetings that require an overnight stay, they receive $175 for lodging plus $0.70 per mile driven. How many miles did Joe drive if his company reimbursed him $329 for an overnight trip?
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.

Respuesta :

x=number of miles

$329=$175+$0.70x
329-175=.70x
154=.70x
154/.70=x
220miles =x
samuelonum1

Joe was given  $329 for an overnight trip because he drove a distance of 220 miles

Word Problem

Given Data

  • Amount rep receive = $175
  • Added amount per mile driven = $0.70
  • Reimbursed/Total  = $329

The Mathematical relation for this scenario is

Total amount = Amount Receive+ 0.7*Distance driven

let the distance driven be x

Substituting our given data into the relation we have

329= 175+ 0.7*x

329-175 = 0.7x

154 = 0.7x

divide both sides by 0.7

x = 154/0.7

x = 220miles

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