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

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
Mario bought equal numbers of 2-cent and 3-cent stamps. If the total  [#permalink]

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25 Feb 2019, 00:04
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Difficulty:

15% (low)

Question Stats:

78% (01:14) correct 22% (01:38) wrong based on 51 sessions

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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

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Re: Mario bought equal numbers of 2-cent and 3-cent stamps. If the total  [#permalink]

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25 Feb 2019, 01:01
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Bunuel 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 each stamp ;x
5x=100
x=20
total ; 40 stamps
IMO C
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Joined: 12 Sep 2015
Posts: 4019
Re: Mario bought equal numbers of 2-cent and 3-cent stamps. If the total  [#permalink]

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14 May 2019, 09:03
Top Contributor
Bunuel 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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Re: Mario bought equal numbers of 2-cent and 3-cent stamps. If the total  [#permalink]

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14 May 2019, 21:45
Let the number of stamps purchased is X.

Since the number of 20 cents and 30 cents stamp purchased is same we can consider number of stamps bought as 2x + 3x = 5x

5x = \$1.00
x = 20

The total number of stamps bought is 40

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Re: Mario bought equal numbers of 2-cent and 3-cent stamps. If the total  [#permalink]

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16 May 2019, 20:02
Bunuel 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

Letting x = the number of stamps of each denomination that he bought, we can create the equation:

2x + 3x = 100

5x = 100

x = 20

So x + x = 20 + 20 = 40 stamps were purchased.

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Re: Mario bought equal numbers of 2-cent and 3-cent stamps. If the total   [#permalink] 16 May 2019, 20:02
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