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

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SUMMARY

The discussion focuses on solving a system of equations to determine the amounts of two types of tea mixed to achieve a specific cost per kilogram. The cost of the first tea is 135kr/kg, while the second is 168kr/kg, and the desired mixture costs 150kr/kg. The correct system of equations is established as 135x + 168y = 150 and x + y = 1. A suggested method for solving this system involves substituting y with (1-x) in the first equation.

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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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