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

[linapril]

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...

 

[I like Serena]

Re: Equation system - help needed!

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.