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# Mario bought equal numbers of 2-cent and 3-cent stamps. If

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Mario bought equal numbers of 2-cent and 3-cent stamps. If [#permalink]  22 Feb 2019, 04:58
Expert's post
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Question Stats:

88% (01:17) correct 11% (00:55) wrong based on 9 sessions
Mario bought equal numbers of 2-cent and 3-cent stamps. If the total cost of the stamps was \$1.00, what was the total number of stamps bought?

(A) 25

(B) 34

(C) 40

(D) 46

(E) 50
[Reveal] Spoiler: OA

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Manager
Joined: 04 Feb 2019
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Re: Mario bought equal numbers of 2-cent and 3-cent stamps. If [#permalink]  28 Feb 2019, 21:18
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Expert's post
We need to find a multiple of 2 and a multiple of 3 that add up to 100. 40 and 60 work.

So if Mario bought 20 2-cent stamps, that would equal 40 cents. If he bought 20 3-cent stamps, that would equal 60 cents. 60 + 40 = 100 cents, or \$1.00.

In total, that's 20 + 20 = 40 stamps.
GRE Instructor
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Re: Mario bought equal numbers of 2-cent and 3-cent stamps. If [#permalink]  14 May 2019, 08:03
Expert's post
Carcass wrote:
Mario bought equal numbers of 2-cent and 3-cent stamps. If the total cost of the stamps was \$1.00, what was the total number of stamps bought?

(A) 25

(B) 34

(C) 40

(D) 46

(E) 50

Let x = the NUMBER of 2-cent stamps purchased
So, x = the NUMBER of 3-cent stamps purchased

This means...
2x = the COST of 2-cent stamps purchased (in CENTS)
And, 3x = the COST of 3-cent stamps purchased (in CENTS)

We can write: (COST of 2-cent stamps purchased) + (COST of 3-cent stamps purchased) = 100 cents
Substitute to get: 2x + 3x = 100
Simplify: 5x = 100
Solve: x = 100/5 = 20

So, Mario bought 20 2-cent stamps, and 20 3-cent stamps, for a total of 40 stamps

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: Mario bought equal numbers of 2-cent and 3-cent stamps. If   [#permalink] 14 May 2019, 08:03
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