word problem

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word problem

by sud21 » Thu Jan 26, 2012 11:49 pm
Museum A's charge x dollars on the tourist party that has no more than 20 tourists and charge y more dollars for each of the tourist members exceeds 20; Museum B charge w dollars on the tourist party that has no more than 30 tourists and charge z more dollars for each of the tourist members exceeds 30. Which museum will charge more on a 40-members party?
1). x<w
2). y<z
Source: — Data Sufficiency |

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by neelgandham » Fri Jan 27, 2012 6:44 am
Museum A's charge x dollars on the tourist party that has no more than 20 tourists and charge y more dollars for each of the tourist members exceeds 20; Museum B charge w dollars on the tourist party that has no more than 30 tourists and charge z more dollars for each of the tourist members exceeds 30. Which museum will charge more on a 40-members party?

Museum A charges X + 20Y for a 40 member party and
Museum B charges W + 10Z for a 40 member party. The question can now be rephrased to

Is X + 20Y > W + 10Z ?(Or X + 20Y < W + 10Z)
1). x<w
If X = 1, W = 2, Y = 10, Z = 20
X + 20Y = 201
W + 10Z = 202
X + 20Y < W + 10Z

If X = 1, W = 2, Y = 20, Z = 10
X + 20Y = 401
W + 10Z = 102
X + 20Y > W + 10Z
Insufficient to answer the question
2). y<z
If X = 1, W = 2, Y = 10, Z = 20
X + 20Y = 201
W + 10Z = 202
X + 20Y < W + 10Z
If X = 20, W = 10, Y = 1, Z = 2
X + 20Y = 40
W + 10Z = 30
X + 20Y > W + 10Z
Insufficient to answer the question

From 1 and 2 - y<z,x<w
If X = 1, W = 2, Y = 10, Z = 20
X + 20Y = 201
W + 10Z = 202
X + 20Y < W + 10Z

If X = 1, W = 2, Y = 10, Z = 11
X + 20Y = 201
W + 10Z = 112
X + 20Y > W + 10Z

Hence Insufficient to answer the question IMO E
Anil Gandham
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