Answer:
5.7 liters of 5% solution and 4.3 liters of 40% solution. First, create some formulas to define the problem. x Amount of 5% solution used 10-x Amount of 40% solution used This equation means 5% of x plus 40% of (10-x) equals 20% of 10. 0.05x + 0.40(10-x) = 0.20 * 10 Distribute the 0.40 0.05x + 4.0 - 0.40x = 0.20 * 10 Combine terms 4.0 - 0.35x = 2.0 Add 0.35x to both sides 4.0 = 2.0 + 0.35x Subtract 2 from both sides 2.0 = 0.35x Divide both sides by 0.35 5.7 = x So we need to use 5.7 liters of the 5% solution. To get the amount of 40% solution, just simply subtract from 10. 10.0 - 5.7 = 4.3
Step-by-step explanation:
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What kid of math is this?
Answer: 131.25 ounces
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Explanation:
We have two spices. Call them spice A and spice B
Spice A is 30% salt. We do not know how much of this spice to add, so we'll call it x. The x is a placeholder for a number
So on your paper you might write
x = amount of spice that is 30% salt (amount in ounces)
30% of x = 0.30*x is the amount of pure salt we have in spice A
Spice B is 65% salt. We have 175 ounces of this stuff.
65% of 175 = 0.65*175 = 113.75 ounces are pure salt
So we have 0.30x+113.75 ounces of total pure salt from the two spices combined
The total mix is x+175 ounces. We want 50% of the total mix to be pure salt, so 0.50*(x+175) is the expression that represents this.
Set the expression 0.30x+113.75 and 0.50*(x+175) equal to each other. Solve for x
0.30x+113.75 = 0.50*(x+175)
0.30x+113.75 = 0.50*x+0.50*175
0.30x+113.75 = 0.50*x+87.5
0.50*x+87.5 = 0.30x+113.75
0.50*x-0.30x = 113.75-87.5
0.20x = 26.25
x = 26.25/0.20
x = 131.25
What x please explain for help