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Manager
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stamps [#permalink]

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New post 18 Oct 2006, 16:15
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kum bought a total of 2.65 dollars worth of postage stamps in four denominations. if she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?

5
10
15
20
25
Senior Manager
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Joined: 31 Jul 2006
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Re: stamps [#permalink]

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New post 18 Oct 2006, 17:12
lan583 wrote:
kum bought a total of 2.65 dollars worth of postage stamps in four denominations. if she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?

5
10
15
20
25


so 1A + 5B + 10C + 25D =265

we know that B=D and C=2*B, so we can rewrite
1A + 5B + 20B + 25B = 265
so A=265-50B

to maximize B: 265-50*5=15. so answer is C?
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Re: stamps [#permalink]

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New post 18 Oct 2006, 18:42
lan583 wrote:
kum bought a total of 2.65 dollars worth of postage stamps in four denominations. if she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?

5
10
15
20
25


C

5x+25x+(10*2x)+y = 265

50x +y = 265

For x to be an integer, max value = 5.
So, y = 265-250 = 15
Re: stamps   [#permalink] 18 Oct 2006, 18:42
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