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A bagel store orders cream cheese from three suppliers, Cheesy Cream Corp. (CCC)

ID: 2911865 • Letter: A

Question

A bagel store orders cream cheese from three suppliers, Cheesy Cream Corp. (CCC), Super Smooth & Sons (SSS), and Bagel's Best Friend Co. (BBF). One month, the total order of cheese came to 100 tons. (The store does do a booming trade.) The costs were $80, $50 and $65 per ton from the three suppliers respectively, with the total cost amounting to $6,440. Given that the store ordered the same amount from CCC and BBF, how many tons of cream cheese were ordered from each supplier? Cheesy Cream Corp tons Super Smooth & Sonstons Bagel's Best Friend Co tons

Explanation / Answer

Let CCC=x tons , SSS= y tons , BBF =z tons

x=z

x+y+z=100

2x+y=100

80 x+ 50 y + 65 z=6440

145x+50y=6440

So we have two equations which are

2x+y=100 , 145x +50y=6440

Solving them we get x=CCC=32 , y=SSS=36, z=BBF=32

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