two quarts is four pints
(4 * 30%) + (3 * 20%) = (4 + 3) * x
what is the concentration of the mixture of two mixture if two quarts of 30% acid solution is mixed with 3 pints of 20%acid solution
3 answers
24%
To find the concentration of the mixture, you need to calculate the total amount of acid in the mixture and divide it by the total volume of the mixture.
1. Convert quarts to pints: 2 quarts = 2 * 2 = 4 pints.
2. Calculate the total amount of acid in the mixture:
(4 pints * 30%) + (3 pints * 20%)
= (1.2 pints) + (0.6 pints)
= 1.8 pints
3. Calculate the total volume of the mixture:
4 pints + 3 pints = 7 pints
4. Divide the total amount of acid (1.8 pints) by the total volume of the mixture (7 pints):
1.8 pints / 7 pints = 0.2571
5. Convert the decimal answer to a percentage:
0.2571 * 100 = 25.71%
Therefore, the concentration of the mixture of two quarts of 30% acid solution mixed with 3 pints of 20% acid solution is approximately 25.71%.
1. Convert quarts to pints: 2 quarts = 2 * 2 = 4 pints.
2. Calculate the total amount of acid in the mixture:
(4 pints * 30%) + (3 pints * 20%)
= (1.2 pints) + (0.6 pints)
= 1.8 pints
3. Calculate the total volume of the mixture:
4 pints + 3 pints = 7 pints
4. Divide the total amount of acid (1.8 pints) by the total volume of the mixture (7 pints):
1.8 pints / 7 pints = 0.2571
5. Convert the decimal answer to a percentage:
0.2571 * 100 = 25.71%
Therefore, the concentration of the mixture of two quarts of 30% acid solution mixed with 3 pints of 20% acid solution is approximately 25.71%.