MHB Mixing Teas: Solve to Find the Amounts of Each Kind!”

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In a tea shop, two types of tea are mixed to create a new flavor, with one costing 135kr/kg and the other 168kr/kg, resulting in a mixture priced at 150kr/kg. The initial equation system set up was 135x + 168y = 150 and x + y = 1, which is correct. A suggestion was made to rewrite the second equation as y = (1 - x) and substitute it into the first equation for solving. This approach will help find the specific amounts of each type of tea needed for the desired mixture cost. The discussion focuses on solving the equations to determine the correct proportions of the teas.
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In a tea shop one mixes two different kinds of tea to get a new flavor. One of the kinds costs 135kr/kg, the other costs 168kr/kg. How large amounts of each kind have you taken if the mixture costs 150kr/kg?

I tried setting up this equation system:
135x + 168y = 150
x+y=1

but I don't think it was right...
 
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Re: Equation system - help needed!

linapril said:
In a tea shop one mixes two different kinds of tea to get a new flavor. One of the kinds costs 135kr/kg, the other costs 168kr/kg. How large amounts of each kind have you taken if the mixture costs 150kr/kg?

I tried setting up this equation system:
135x + 168y = 150
x+y=1

but I don't think it was right...

Hi linapril!

Your equation system is right.
I suggest you rewrite the second one as y=(1-x) and substitute that in the first.
 

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