Question

1) A tank can be filled by one pipe in 9 minutes and drained by another pipe in 12 minutes. Write an equation that could be used to determine how long it will take to fill the tank if the two pipes are open at the same time.
A. 1/9 + 1/12 = 1/t
B. 1/12 - 1/9 = 1/t
C. 1/9 - 1/12 = -1/t
D. 1/9 - 1/12 = 1/t
E. -1/9 - 1/12 = -1/t
F. -1/9 - 1/12 = -9/t

2) Determine how long it will take the fill the tank in question 1.
A. 44 minutes
B. 25 minutes
C. 18 minutes
D. 3 minutes
E. 36 minutes
F. 9 minutes

3) A tank can be filled by a pipe in 8 hours. The tank can be emptied by another pipe in 12 hours. If the pool is empty, and both pipes are open, how long will it take to fill the tank?
A. 24 hours
B. 30 hours
C. 18 hours
D. 14 hours
E. 27 hours
F. 32 hours

4) Type A cream is 18% butterfat and type B cream is 24% butterfat. Set up a table to help you determine how many quarts of each type of cream must be used to create a 90 quart mixture that is 22% butterfat.
Answers are the attached photos.

5) Solve the problem in question 4.
A. 40 quarts of Type A cream and 50 quarts of Type B cream are needed.
B. 60 quarts of Type A cream and 30 quarts of Type B cream are needed.
C. 24 quarts of Type A cream and 66 quarts of Type B cream are needed.
D. 30 quarts of Type A cream and 60 quarts of Type B cream are needed.
E. 18 quarts of Type A cream and 72 quarts of Type B cream are needed.
F. 35 quarts of Type A cream and 55 quarts of Type B cream are needed.

Thanks!

Answer 1

Answer:

1). 1/9 - 1/12 = 1/t

2). 36 minutes

3). 24 hours

4). 30 quarts of Type A cream and 60 quarts of Type B cream are needed

Step-by-step explanation: