2/3 is what percent of 1/4 ? of 1/6?

a grocer has 18 kg of black tea worth $3.5 per kg. she wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. how much of green tea should she use?

solve for both, and if you get it both correct, i will make you

it will be !

its rsm hw btw

Let...

x= kg of green tea

We can make an equation from the information given.

3.5(18)+2.6x=2.9(x+18)

63+2.6x=2.9x+52.2

10.8=0.3x

x=36

36 kg of green tea

I will also solve your first question.

2/3 is what percent of 1/4? 1/6?

Let's turn this question into an equation where we can solve for the unknown. Don't worry about the percent conversion yet.

2/3=1/4x

x=8/3

Now we can convert 8/3 to 800/3 %.

We solve the second part of the question similarly.

2/3=1/6x

x=12/3=4=400%

800/3% and 400%

1) If you want to know what percent is X in Y, you must do:

X/Y*100%

so in this case:

(2/3)/(1/4)*100% = 266.66%

So 2/3 is the 266.66% of 1/4

and

(2/3)/(1/6)*100% = 400%

So 2/3 is the 400% of 1/6

2) We have 18kg of black tea, and each kg cost $3.5

we want to mix it with X kg of green tea, (with a cost of $2.6) so the total cost per kg is $2.9

The final weight of the mixture will be 18kg + X

and the price of the each kilogram in the mixture will be:

P = (18kg*3.5 + X*%2.6)/(18kg + X) = $2.9

we must solve it for X

(18kg*3.5 + X*$2.6) = $2.9*(18kg + X) = $2.9*18kg + $2.9*X

X*($2.9 - $2.6) = ($3.5 - $2.9)*18kg

X = (0.6/0.3)*18kg = 36kg

So you need to add 36kg of green tea.

honesty mood

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this