Question

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

Answer 1

Answer: C on edge:)

Explanation:

Answer 2

c. 28 liters

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

x+y=35

x=35-y...(iii)

Plug (iii) into (ii)

3x+7y=133

3(35-y)+7y=133

105-3y+7y=133

105+4y=133

4y=133-105

4y=28

y=28/4

y=7

plug y=7 into (iii)

x=35-y=35-7=28

Hence final answer is c. 28 liters