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Arithmetic mean

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Source: — Data Sufficiency |
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by pandeyvineet24 » Sun Jan 04, 2009 12:56 pm
Price of 1 shirt = 15
Price of 1 Sweater = 25

statement 1.

(15S + 25SW)/(S + SW) = 21
=> 15S +25SW = 21S + 21SW

=> 4SW = 6S

=> 2SW = 3S

Which tells us that there were more Sweaters than shirts.
hence Sueff

Stmt 2

(15S + 25SW) = 420

No more info. Not Sueff
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by ronniecoleman » Mon Jan 05, 2009 4:29 am
During a sale, a clothing store sold each shirt at a price of $15 and each sweater at a price of $25. Did the store sell more sweaters than shirts during the sale?

(1) The average (arithmetic mean) of the prices of all the shirts and sweaters that the store sold during the sale was $21.

(2) The total of the prices of all the shirts and sweaters that the store sold during the sale was $420



let x shirts are sold
y sweater are sold

so .

15 x + 25 y / ( x+ y) = 21

2y = 3x

clearly it shows that y is greater than x

choose A
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