Question

Mely who owns a coffee store in Divisoria Market wishes to mix first-class coffee that sells 200 per kg with 25 kg of imported cofee that sells 150 per kg. How many kgs of first-class coffee must be mixed with the imported coffee to obtain a mixture of worth 175 per kg? How much of the mixture will be produced?

Answer 1

25 kg, 50 kg

Answer 2

but how?

Answer 3

1:1 ratio.. simple

Answer 4

kindly show your solution

Answer 5

wait for sometime.. will be right back

Answer 6

say, first class coffee is x kg and imported coffee is y kg in amount in the mixture
so, 200x+150y=175 (x+y)
u can get, x=y
y is given 25 kg
so x is also 25 kg

Answer 7

i'm sorry but it is clear in the given that:

mix first-class coffee that sells 200 per kg with 25 kg of imported cofee that sells 150 per kg.

meaning --- 1 kg: 25 kg

Answer 8

no, u got it wrong

Answer 9

mix first class coffee that sells 200 per kg
that means the price of first class coffee costs 200
we have to mix them in correct ratio

Answer 10

then, how many kgs of first-class coffee must be mixed with the imported coffee to obtain a mixture of worth 175 per kg?

Answer 11

1:1ratio.. i showed the work

Answer 12

X*200 + 25(150) = 175(X+25)

its like a weighted average, since 175 is right in the middle between 150 and 200 then the amounts are equal.

X = 25

solve the equation to verify

Answer 13

yup.. when u face this kind of problems, to solve these fast..
take the difference of two given values from the required value
then take the reciprocal of the ratio of differences
that will be the required ratio