Question 1

Marie mixes 16 liters of 18% acid solution with a 27% acid solution, which results in 21% acid solution.

Let x represent the number of liters of 27% solution used and let y represent the number of liters of mixture. Which system of equations can be used to find the number of liters of 27% acid solution in the mixture?

y = x + 16; 0.27y = 0.21x + 2.88

y = x + 16; 0.21y = 0.27x + 2.88

y = x + 16; 0.21y = 0.27x + 4.32

y = x + 16; 0.27y + 2.88x = 0.21

Question 2

Amy mixes 12 liters of 16% acid solution with a 40% acid solution, which results in 32% acid solution.

Let x represent the number of liters of 40% solution used and let y represent the number of liters of mixture. Which system of equations can be used to find the number of liters of 40% acid solution in the mixture?

y = x + 12; 0.4y = 0.32x + 3.84

y = x + 12; 0.4y = 0.32x + 1.92

y = x + 12; 0.32y = 0.4x + 4.8

y = x + 12; 0.32y = 0.4x + 1.92

Question 3

Amy mixes 12 liters of 16% acid solution with a 40% acid solution to make a 32% acid solution.

How many liters of 40% solution did she use?

36 liters

24 liters

16 liters

4.8 liters

Question 4

Amy mixes 12 liters of 26% acid solution with a 40% acid solution to make a 33% acid solution.

How many liters of 40% solution did she use?

36 liters

12 liters

16 liters

4.8 liters

Question 5

Marie mixes 16 liters of 18% acid solution with a 27% acid solution to make a 21% acid solution.

How many liters of 27% solution did she use?

8 liters

12 liters

20 points :)