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

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Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4127
GPA: 3.39
A vending machine dispenses gumballs in a regularly repeating cycle of  [#permalink]

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Updated on: 29 Dec 2018, 01:12
2
1
00:00

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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Last edited by SajjadAhmad on 29 Dec 2018, 01:12, edited 1 time in total.
General GMAT Forum Moderator
Joined: 15 Jan 2018
Posts: 606
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Re: A vending machine dispenses gumballs in a regularly repeating cycle of  [#permalink]

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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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