Answer:
33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution
Step-by-step explanation:
Set up two equations...
Let x represent the number of Liters of the 40% solution
Let y represent the number of Liters of the 25% solution
We need 50 liters total, so
x + y = 50
and we need the 50 L to be 35% solution, so
0.4x = 0.25y = 0.35(50)
Solve the first equation for one variable...
x = 50 - y (subtract y from both sides in equation 1)
Now substitute that value into the second equation...
0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)
Now solve for y...
20 - 0.4y + 0.25y = 17.5
-0.15y = -2.5
y = 16.66666667
y = 16 2/3 L
So we need to plug that into the first equation to find 'x'
x + 16 2/3 = 50
x = 50 - 16 2/3
x = 33 1/3
First, do 110-30 (You'll get 90). Then, divide 90 by 2 (You'll have 45). Finally, take 45 from 350. Your final answer should be 305.
2/7 cup of flour
Simply multiply 2/3 by 3/7 to get
the answer. To multiply 2 fractions together, you multiply the
numerators together and then multiply the denominator together.
2/3 x 3/7 = 6/21
But 6/21 can be expressed in a simpler fashion. Notice that both 6 and
21 can be evenly divided by 3. So divide both the numerator and
denominator by 3
(6/3)/(21/3) = (2)/(7) = 2/7
D 2:1, because a dime is worth twice as much as a nickel
Because the question has number of nickels listed first in the ratio that makes the answer 2:1 as opposed to B 1:2. Also, two nickels equal the same amount as one dime so for every two nickels there is one dime. In this case, there are 728 nickels and 364 dimes. 728/364 = 2/1 (simplifies down to the fourth ratio given)
