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a group of friends every time they play a game of marbles, they lose 5 marbles as it’s a big playground and they can’t be bothered to look for marbles that roll away somewhere. every time a game of marbles ends (each game takes 10-15 minutes), they collect all their marbles in a big box, hide it behind a tree, and go for a quick run. every time these kids hide all their marbles in a box behind the tree, a very intelligent squirrel sneaks up to the box, and if there are more than 12 marbles in it, the squirrel steals 3 marbles and runs off. if this group of kids started with 120 marbles in total, how many games can they play in total before they have less than 10 marbles left (given that they lose some marbles each time they play, and a squirrel steals some marbles each time they go for a run).​

Respuesta :

mhanifa

Answer:

  • 14 games

Step-by-step explanation:

  • Initial number of marbles = 120
  • Lost at every game = 5
  • Stolen by a squirrel = 3
  • Left = less than 10

Let the number of games be x

  • then lost marbles = 5x
  • stolen marbles = 3x

Inequality:

  • 120 - 5x - 3x < 10
  • 120 - 8x < 10
  • 110 < 8x
  • x > 110/8
  • x > 13 rounded down

Since there should be more than 0 left, another inequality for it:

  • 120 - 8x > 0
  • 120 > 8x
  • x < 15

So 13 < x < 15, which leaves us with 14

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