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A vending machine dispenses gumballs in a regularly repeating cycle of

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A vending machine dispenses gumballs in a regularly repeating cycle of  [#permalink]

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New post Updated on: 29 Dec 2018, 01:12
2
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00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (01:22) correct 27% (00:56) wrong based on 24 sessions

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A vending machine dispenses gumballs in a regularly repeating cycle of ten different colors. If a quarter buys 3 gumballs, what is the minimum amount of money that must be spent before three gumballs of the same color are dispensed?

A. $1.00
B. $1.75
C. $2.00
D. $2.25
E. $2.50

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Originally posted by SajjadAhmad on 20 Dec 2018, 14:15.
Last edited by SajjadAhmad on 29 Dec 2018, 01:12, edited 1 time in total.
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Re: A vending machine dispenses gumballs in a regularly repeating cycle of  [#permalink]

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New post 21 Dec 2018, 00:17
1
Let the gumballs dispensed in regular cycle of 10 different colors be G1, G2, G3, G4, G5, G6, G7, G8, G9, G10.
Given that gumballs are dispensed in regular cycle, so we need 21 balls in order to get three gumballs of the same color.

G1, G2, G3, G4, G5, G6, G7, G8, G9, G10, G1, G2, G3, G4, G5, G6, G7, G8, G9, G10, G1 - 21 Gumballs
3 Balls can be bought with 1 quarter
1 Ball can be bought with 1/3 quarter
Therefore, 21 Balls can be bought with (1/3) X 21 = 7 quarters = 1 dollar & 3 quarters = $1.75

Hence, the correct option is answer choice B. $1.75
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Re: A vending machine dispenses gumballs in a regularly repeating cycle of   [#permalink] 21 Dec 2018, 00:17
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