A bagel store orders cream cheese from three suppliers Chees

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 (they do a booming trade). The costs were $80, $50 and $65 per ton from the three suppliers respectively, with the total cost amounting to $6,530. Given that the store ordered the same amount from CCC and BBF, how many tons of cream cheese were ordered from each supplier?

Solution

Let the orders from these three suppliers be x,y,and z

According to question

x+y+z=100

80x+50y+65z=6530

x=z

From first and third equation we get

2x+y=100

And from second and third we get

145x + 50y=6530

And now we have two equations which are

2x+y=100

145x+50y=6530

Solving these equations we get x=34,y=32

And x=z

so we get z=34