Question

Suppose 15 quarts of a solution that is 35% antifreeze is mixed with 5 quarts of a solution that is 72% antifreeze. 1.how many quarts of antifreeze are in the resulting mixture? 2.what % of the resulting mixture is antifreeze?

Answer 1

Answer:

1. 8.85 quarts

2. 44.25%

Step-by-step explanation:

In 15 quarts of a solution with percentage of antifreeze = 35%

Amount of antifreeze = 35% × 15

                                    = 0.35 × 15

                                    = 5.25 quarts

that solution is mixed with 5 quarts of a solution with percentage of antifreeze = 72%

Amount of antifreeze = 72% × 5

                                    = 0.72 × 5

                                    = 3.6 quarts

Total amount of mixture = 15 quarts + 5 quarts = 20 quarts

1. Now we will calculate the total amount of antifreeze in the resulting mixture.

= 5.25 + 3.6 = 8.85 quarts

2. The percentage of the resulting mixture is antifreeze

= $\frac{8.85}{20}\times 100$

= 44.25%

1. total amount of antifreeze is 8.85 quarts

2. the percentage of antifreeze is 44.25%