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# Josh spends a total of \$5.50 buying N items in the convenience store.

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Retired Moderator
Joined: 29 Apr 2015
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Josh spends a total of \$5.50 buying N items in the convenience store.  [#permalink]

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03 Sep 2015, 11:18
1
2
00:00

Difficulty:

15% (low)

Question Stats:

78% (01:25) correct 22% (02:38) wrong based on 71 sessions

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Josh spends a total of \$5.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?

A. 99
B. 100
C. 101
D. 109
E. 140

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Re: Josh spends a total of \$5.50 buying N items in the convenience store.  [#permalink]

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03 Sep 2015, 11:24
reto wrote:
Josh spends a total of \$5.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?

A. 99
B. 100
C. 101
D. 109
E. 140

Let x be 0.05\$ single bubblegum and y be the total 0.5\$ packs ---> 0.05x+0.5y=5.5 ---> x+10y=110 ...(1)

Also, x+y=N ...(2)

Solving 1 and 2 , we get, N = 110-9y ---> only value satisfied is when y = 1---> N = 110-9=101. C is the correct answer. Other options are not equal to multiples of 9 removed from 110.
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Re: Josh spends a total of \$5.50 buying N items in the convenience store.  [#permalink]

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03 Sep 2015, 11:44
reto wrote:
Josh spends a total of \$5.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?

A. 99
B. 100
C. 101
D. 109
E. 140

Let x be the number of single bubblegums and y be the number of bubblegum pack.
then
5x+50y=550
or x+10y=110
or x=110-10y

Now,
let y=0, then x= 110 and N=x+y or N=0+110 =110.
let y=1, then x=100 and N=100+1= 101 (given in the options)
let y=2, then x= 90 and N=92
the value will further decrease and hence we do not need to calculate anymore values.

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Re: Josh spends a total of \$5.50 buying N items in the convenience store.  [#permalink]

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23 Dec 2017, 02:51
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Re: Josh spends a total of \$5.50 buying N items in the convenience store.   [#permalink] 23 Dec 2017, 02:51
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