Question

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

Answer 1

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

answer: 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%

answer: 800/3% and 400%

Answer 2

Answer:

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.