How many kilograms of each type of tea must be used in the blend?
A tea shop owner blends tea that sells for 240 pesos per kilo to another type of tea that sells for 200 pesos per kilo to produce 150 kilos of a mixture that sells for 220 pesos. How many kilograms of each type of tea must be used in the blend?
Let A be the tea that sells 240 pesos per kilo and Let B be the tea which sells 200 pesos per kilo. The amount taken from A is x and amount taken from B is y. Then,
Total amount = `150 = x+y`
Selling price of 150 kg `= 220(150) = 240x+200y`
Thereforem `220(150) = 240x+200y`
Dividing by 40,
`825 = 6x+5y`
Now e have two simultaneous equations for x and y, we can solve theme to fins values for x and y.
x = 75 and y =75.
The amount needed from each type are, 75 kg from A and 75 kg from B.
Now let us check our answer.
Cost of 150 kg of mixture = 75(240)+75(200)
Cost of 1 kg of mixture = 33000/150
Therefore our answer is correct.