Write eqn for weight; x = 14% sol & y = 6% sol which is x + y = 50.
Write eqn for solution: .14x + .06y = .12*50 = 6; 2 equations 2 unknowns.
Solve: Mult 1st eqn by -.14; now -.14x-.14y = -.14*50 or -7
-.14x-.14y=-7
.14x+.06y=6
0-.08y=-1 or y=12.5 or 12.5mL of 6% solution
x+12.5=50 or x=37.5 or 37.5 mL of 14% solution
150 mlLet x be the volume of 20% solution to add. The amount of "stuff" dissolved in the 20% solution plus the amount in the 40% will equal the amount of "stuff" dissolved in the 25% solution.(0.20)(X) + (0.40)(50 ml) = (0.25)(X+50ml)0.2X + 20 = 0.25X + 12.520 - 12.5 = 0.25X - 0.20X7.5 = 0.05XX = 7.5/0.05 = 150 ml
Let x = the amount of 20% solution Let x + 10 = the amount of the final solution. So we have: (.20)x + (.50)(10) = (.40)(x + 10) .20x + 5 = .40x + 4 .20x = 1 x = 5 liters of 20% solution of saline.
2 gallons.
0.25 gallons of water (or 1 quart)
98 mL
10 liters.
To determine the amount of 18% solution to add: Let x = volume of 18% solution to be added. 0.18x + 0.10(360) = 0.15(x + 360) Solving for x, you would need to add 75 ml of the 18% solution to the 360 ml of 10% solution to obtain a 15% solution.
150 mlLet x be the volume of 20% solution to add. The amount of "stuff" dissolved in the 20% solution plus the amount in the 40% will equal the amount of "stuff" dissolved in the 25% solution.(0.20)(X) + (0.40)(50 ml) = (0.25)(X+50ml)0.2X + 20 = 0.25X + 12.520 - 12.5 = 0.25X - 0.20X7.5 = 0.05XX = 7.5/0.05 = 150 ml
Let x = the amount of 20% solution Let x + 10 = the amount of the final solution. So we have: (.20)x + (.50)(10) = (.40)(x + 10) .20x + 5 = .40x + 4 .20x = 1 x = 5 liters of 20% solution of saline.
This is an algebra problem. There will be 2 equations and 2 unknowns. Let x = amount of 7% solution, and y = amount of 19% solution. .07x + .19y = .15*456. x + y = 456; or x = 456-y which will substitute into the first equation. .07(456-y) +.19y = .15*456. 31.92-.07y+.19y = 68.4. .12y = 36.48. y = 304L (amount of 19% solution to add). x = 456-y. x = 456 - 304. x = 152L (amount of 7% solution to add).
2 gallons.
Dissolve 15 g salt in 100 mL water.
How much 50 percent antifreeze solution and 40 percent antifreeze solution should be combined to give 50 gallons of 46 percent antifreeze solution?
2%
To obtain a solution that is twenty percent antifreeze, you would add 4 parts water to 1 part antifreeze. This means that for every 1 part of antifreeze, you would add 4 parts of water. This would result in a total of 5 parts of solution, with 1 part being antifreeze and 4 parts being water, achieving a solution that is twenty percent antifreeze.
0.25 gallons of water (or 1 quart)
To obtain a 12% alcohol solution, you would need to mix 12ml of alcohol with 48ml of water. This would give you a total volume of 60ml, with 12% of it being alcohol.