A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80% salt. She wants to obtain 80 ounces of a mixture that is 75% salt. How many ounces of each solution should she use?

108 ounces

Step-by-step explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

Equation 1: x + y = 180      

Equation2: y = 180 - x

.60x+.85y=.75(180)

.60x+.85y=135      

Multiply both sides of the equation by 100 to remove the decimal points.

60x+85y=3500

60x+85(180 - x)=13500

60x+15300-85x=13500

-25x=-1800

x=72ounces

y=180-72

y=108 ounces          

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above