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Two ants, Arthur and Amy, have discovered a picnic and are b

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Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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New post 17 Aug 2013, 09:20
1
11
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A
B
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D
E

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Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of x crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of x?

A. x/2
B. x
C. 3x/2
D. 2x
E. 3x
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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New post 17 Aug 2013, 09:57
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Stiv wrote:
Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of x crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of x?
A x/2
B x
C 3x/2
D 2x
E 3x


LET ARTHUR total trip = \(T\) and number of crumbs per trip = \(C\)
Therefore total crumbs =\(C*T\) ..which is given equal to \(X\)
So \(CT = X\)

now AMY makes twice trips therefore = \(2T\)....CRUMBS per trip = \(1.5\) times arthurs = \(1.5C\)
therefore total crumbs = \(1.5C*2T = 3CT\)

now \(CT = X\)there fore \(3CT = 3X\)

THEREFORE number of crumbs Amy will bring to the anthill = \(3X\)

hence = E
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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New post 17 Aug 2013, 10:15
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1
Stiv wrote:
Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of x crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of x?
A x/2
B x
C 3x/2
D 2x
E 3x

Amy..................................Arthur
2p........................................ p = Trips
3/2 c ................................... c = crumbs

Now, Arthur , pc = x
so, Amy , 2p × 3/2 c =3pc = 3x
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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New post 25 Sep 2013, 11:22
Stiv wrote:
Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of x crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of x?
A x/2
B x
C 3x/2
D 2x
E 3x


Lets do it by picking up numbers. Let Arthur carry 2 crumbs per trip, this means Amy carries 3 crumbs per trip. Also let Arthur make 2 trips and so Amy makes 4 trips.

Thus total crumbs carried by Arthur (x) = 2 x 2 = 4, total crumbs carried by Amy = 3 x 4 = 12. 12 is 3 times 4, so E
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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New post 14 Oct 2014, 21:12
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Good names for ants and good story)). So good that I missed important data

x*2/1*3/2=6x/2=3x

E
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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New post 14 Oct 2014, 21:26
In 1 trip, work done by Arthur = x

So, in 1 trip, work done by Amy = 1.5x

However, Amy does twice the work of Arthur, means Amy makes 2 trips

So, work done by Amy in 2 trips = 1.5x * 2 = 3x

Answer = E
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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New post 23 Aug 2015, 11:52
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HOW DO YOU KNOW than Amy returns back to make a second trip? Nothing in the problem makes you decide this.

What is given is that Amy will reach the anthouse when Arthur will still be halfway and she will be sitting still there waiting for the poor Arthur and having brought just exactly 1,5x, because she cannot carry more and she is not going back to picknick site.

Either crumbs are out or Amy is too tired to make a second trip.
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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New post 30 Nov 2019, 08:14
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b   [#permalink] 30 Nov 2019, 08:14
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