<span>5.7 liters of a 5% solution combined with 4.3 liters of a 40% solution.
To begin, define the problem with formulas.
x Represents the liters of the 5% solution utilized.
10-x Represents the liters of the 40% solution used.
This forms an equation: 5% of x plus 40% of (10-x) equals 20% of 10.
0.05x + 0.40(10-x) = 0.20 * 10
Now, distribute the 0.40 coefficient.
0.05x + 4.0 - 0.40x = 0.20 * 10
Next, combine the terms.
4.0 - 0.35x = 2.0
Add 0.35x to each side.
4.0 = 2.0 + 0.35x
Subtract 2 from both sides.
2.0 = 0.35x
Lastly, divide both sides by 0.35.
5.7 = x
Thus, 5.7 liters of a 5% solution is required. To determine the volume of the 40% solution, subtract from 10.
10.0 - 5.7 = 4.3</span>
Gerry has 25 more basketball cards than he does baseball cards. Step-by-step explanation: Gerry owns a total of 50 sports trading cards. Among these, one-fifth are baseball cards, meaning he has 10 baseball cards. One-tenth of his collection consists of football cards, so he has 5 football cards. The remainder are basketball cards, leading to the conclusion that he has 35 basketball cards. The difference in quantity between his basketball and baseball cards is 25.
Could you please clarify? I can't perform any calculations without knowing where this figure is and its dimensions -
Given that
Total tickets = 10
Winning tickets = 6
For every three prizes, there’s one large prize
therefore,
At this point,
