A car's cooling system of a car has a capacity of 15 liters. suppose that it is currently full of a 40% antifreeze mixture. you want 60% antifreeze mixture so you drain some of the current mixture and then add the pure antifreeze. How much antifreeze should be added?

Question

A car's cooling system of a car has a capacity of 15 liters. suppose that it is currently full of a 40% antifreeze mixture. you want 60% antifreeze mixture so you drain some of the current mixture and then add the pure antifreeze. How much antifreeze should be added?

Answer 1

you must drain the same amount as the amount you are going to add , to keep 15 L in there

let that amount be x L

so we are draining .4x L of antifreeze and then adding x L of pure antifreeze

so .4(15) - .4x + x = .6(15)
times 10
4(15) - 4x + 10x = 6(15)
60 + 6x = 90
6x = 30
x = 5

Answer 2

i don't have an answer but i have a question:

At the end of Summer, Puss discovers that his radiator antifreeze solution has dropped below the safe level. If the radiator contains 4 gallons of a 25% antifreeze solution, how many gallons of pure antifreeze must he add to bring it up to a desired 50% solution?

i am not sure how to solve this can you please put a solution to this problem

Answer 3

To answer this question, we need to calculate the amount of antifreeze that should be added to the cooling system. Here are the steps to find the answer:

Step 1: Determine the current amount of antifreeze in the system:
The cooling system has a capacity of 15 liters, and it is currently filled with a 40% antifreeze mixture. To find the current amount of antifreeze, we multiply the capacity (15 liters) by the percentage of antifreeze (40% or 0.40):
Current amount of antifreeze = 15 liters * 0.40 = 6 liters

Step 2: Determine the desired amount of antifreeze in the system:
We want to achieve a 60% antifreeze mixture in the cooling system. To determine the desired amount of antifreeze, we multiply the capacity (15 liters) by the desired percentage of antifreeze (60% or 0.60):
Desired amount of antifreeze = 15 liters * 0.60 = 9 liters

Step 3: Calculate the difference between the desired and current antifreeze amounts:
To find out how much antifreeze should be added, we subtract the current amount of antifreeze from the desired amount of antifreeze:
Antifreeze to be added = Desired amount of antifreeze - Current amount of antifreeze
Antifreeze to be added = 9 liters - 6 liters = 3 liters

Therefore, you need to add 3 liters of pure antifreeze to the cooling system in order to have a 60% antifreeze mixture.