Certain items are purchased jointly. If each person pays 8coins, the surplus is 3coins, and if each person gives 7coins, the deficiency is 4coins. Let x represent the number of people and y the number of coins needed to purchase the items. Find the numberof people and the number of coins used to purchasethe items.

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Respuesta :

Answer:

  • 7 people
  • 53 coins

Step-by-step explanation:

The problem statement tells us ...

  8x = y +3

  7x = y -4

Subtracting the second equation from the first gives ...

  x = 7

Then ...

  y = 7x +4 = 7·7 +4 = 53

There are 7 people, and 53 coins are required for purchase.