Trins runs a coffee shop. Her best seller is a personal blend that was mixed using 2 types of ground coffee beans. One kg of the mix costs 225 pesos. How much of each type does Tris use?

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Trins runs a coffee shop. Her best seller is a personal blend that was mixed using 2 types of ground coffee beans. One kg of the mix costs 225 pesos. Individually the first costs 190 per kg and the second type costs 275 pesos.How much of each type does Tris use?
Thanks

Answers

2014-10-13T14:40:32+08:00
Let 'x' be the amount of coffee which costs 190/kg
    'y' be the amount of coffee which costs 275/kg
since you know that 1 kg is 225 then you'll the equations as:
(since the mix is 1 kg then you will have the idea that x + y =1)
x + y = 1 ----equation 1
(since you have the cost and the price you can have the second equation)
190x +275y = 225  ---equation 2
rearranging equation 1
x + y = 1
x = 1 - y   ----equation 3
substitute equation 3 to equation 2
190x + 275y = 225
190(1-y) + 275y = 225
190 - 190y + 275y = 225
85y = 225 -190
85y = 35
y = 7/17 kg
substitute to equation 3
x = 1 - 7/17
x = 10/17 kg
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