Question

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).

Answer 1

If this group of kids started with 120 marbles in total, then they can play 14 game

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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