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DedPeter [7]
3 years ago
12

A 75% antifreeze solution is to be mixed with a 90% antifreeze solution to get 360 liters of a 85% solution. How many liters of

the 75% and how many liters of the 90% solutions will be used?
Mathematics
2 answers:
PtichkaEL [24]3 years ago
6 0

Let x,y denote the volume of the 75% and 90% solutions to use, respectively. We want to end up with a 360L solution, so x+y=360.

We want this new solution to have an 85% concentration so that it would contain 0.85*360L = 306L of antifreeze. The volume of antifreeze contributed by the reagent solutions are 0.75x and 0.9y, and their total should match the new solution's total volume of antifreeze, so that 0.75x+0.9y=306.

Solve this system and you get x=240\,\rm L and y=120\,\rm L.

Basile [38]3 years ago
5 0

Answer:

240 liters

Step-by-step explanation:

Let x be the quantity of 75% antifreeze solution and y be the quantity of 90% antifreeze solution,

Since, the total quantity of the mixture = 360,

⇒ x + y = 360 ----- (1),

Also, the resultant solution is of  85% antifreeze solution,

⇒ 75 % of x + 90% of y = 85% of 360

0.75x + 0.90y = 0.85 × 360

0.75x + 0.90y = 306

75x + 90y = 30600 -----(2),

Equation (2) - 75 × equation (1),

We get,

15y = 3600

⇒ y = 240

Hence, 240 liters of 90% solutions will be used.

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