The price of a mountain bike is $50 more than a road bike. If 4 road bikes and 3 mountian bikes coat $4700. Find the price of a road bike and a mountain bike.

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Answer:

  • road bike: $650
  • mountain bike: $700

Step-by-step explanation:

If r is the cost of a road bike, then the cost of a mountain bike is r+50. The total cost of the 7 bicycles is ...

  4r +3(r+50) = 4700

  7r +150 = 4700 . . . . . . eliminate parentheses

  7r = 4550 . . . . . . . . . . . subtract 150

  r = 650 . . . . . . . . . . . . . divide by 7; price of a road bike

  r+50 = 700 . . . . price of a mountain bike

The price of a road bike is $650; the price of a mountain bike is $700.

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