Answer:
we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
Step-by-step explanation:
let the 20% solution = x liters
let the 50% solution = y liters
total solution of the mixture of the two solutions in % = 28%
total solution of the mixture of the two solutions in liters = 75 liters
considering the total solutions given, we will have the following equations if we mix the solutions in equal proportion;
20x + 50y = 28 (75)
0.2x + 0.5y = 0.28(75)
0.2x + 0.5y = 21 -------equation 1
Also,
x + y = 75 ------equation 2
y = 75 - x
(substitute this into equation 1)
0.2x + 0.5(75 - x) = 21
0.2x + 37.5 - 0.5x = 21
0.2x - 0.5x = 21 - 37.5
-0.3x = -16.5
x = -16.5 / -0.3
x = 55 liters
Recall, y = 75 - x
y = 75 -55
y = 20 Liters
Thus, we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
Answer:
you need to show the line graph.... or is there not one
Step-by-step explanation:
Answer:
(- 3, - 2 )
Step-by-step explanation:
Given the 2 equations
- 2x + 5y = - 4 → (1)
3x + 4y = - 17 → (2)
Multiplying (1) by 3 and (2) by 2 and adding the result will eliminate x
- 6x + 15y = - 12 → (3)
6x + 8y = - 34 → (4)
Add (3) and (4) term by term
(- 6x + 6x) + (15y + 8y) = (- 12 - 34), that is
23y = - 46 ( divide both sides by 23 )
y = - 2
Substitute y = - 2 in either of the 2 equations.
Substituting in (2)
3x - 8 = - 17 ( add 8 to both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Solution is (- 3, - 2 )
