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), end Bagel\'s Best Friend Co. (BBF). one month, the total order of cheese came to 100 tons (they do a booming trace). The costs were $80, $50 and $65 per ton from the three suppliers respectively, weight the total cost amounting to $5, 630. 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 & Sons tons Bagel\'s Best Friend Co. tons

Solution

Let the amount ordered from CCC = x , BBF = x and SSS = y

x +x +y = 100

2x + y = 100----(1)

80x + 50y + 65x = 5630

145x + 50y = 5630----(2)

solve the two equations :

we get x= 17 , y =72

CCC = 14 tons

SSS = 72 tons

BBF = 14 tons