(HURRY) Janet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose sol

Question

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(HURRY) Janet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose sol

ution. How many liters of the 15% solution is Januet using in the mixture? a. 25 liters c. 28 liters b. 7 liters d. 10 liters Please select the best answer from the choices provided A B C D

Mathematics

2 answers:

Arturiano [62] · Answer 1 · 2022-02-07T00:43:37+03:00

Answer:

c. 28 liters

Step-by-step explanation:

Given tha tJanet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. Now we need to find about how many liters of the 15% solution is Januet using in the mixture.

Let the number of liters of the 15% solution is Januet using in the mixture = x

Let the number of liters of the 35% solution is Januet using in the mixture = y

Then we get equations:

x+y=35...(i)

and

(15% of x) + (35% of y) = 19% of 35.

or

0.15x+0.35y=0.19(35)

15x+35y=19(35)

3x+7y=19(7)

3x+7y=133 ...(ii)

solve (i) for x