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.
4x+3y=13
y=-x+4
x+y=4
4x+3y=13
4x+4y=16
-y=-3
<em>y=3
</em><em />4x+9=13
4x=4<em>
x=1
hope i helped!!</em>
The answer would be 119 and 4/7
10 lbs of apples will cost $55
How? Well...
First, you would need to find the unit rate, which is 5.5
You find the unit rate by simply dividing 33 by 6. Next, after you found your unit rate, you're going to multiply that by 10. We now know that 10 x 5.5= 55. Therefore, you will need $55 for 10 lbs of apples.
