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?
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Let the amount of the first tea to be mixed is x and the second be y.
==> The cost for the first tea is 240x
==> The cost for the second tea is 200y.
The cost for the mixture is 240x+200y = 220*150
But we know that x+y= 150 ==> y= 150-x
==> 240x + 200(150-x) = 33,000
==> 240x + 30000 - 200x = 33,000
==> 40x = 3000
==> x = 75
==> y= 75
Then, we should mix 75 kilo of each type of tea.
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