76.11 Multiply fractions and mixed numbers: word problems 5N)
1 answer:
Answer:
Kendra ate 1/4 pounds of blueberries.
Step-by-step explanation:
The amount of blueberries Sean had = 1/3 pound
The amount of blueberries Kendra ate = 3/4 of Total available
= 3/4 of (1/3 pounds)
Now, we need to find out the 3/4 amount of 1/3 pound.
3/4 of 1/3 pound =
⇒ 3/4 of the amount 1/3 pound = 1/4 pound
Hence Kendra ate 1/4 pounds of blueberries.
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Answer:
Graph B
No
Inside
Step-by-step explanation:
Let, the number of apples = x and number of peaches = y.
It is given that the farmer can afford maximum of 54 acres.
Thus, x + y ≤ 54.
Also, apples require 3000 gallons of water and peaches require 800 gallons of water each day.
Since, maximum amount of water is 80,000 gallons per day,
We get, 3000x + 800y ≤ 80,000.
It is required to maximize the profit given by z = 3400x + 1600y.
Thus, the system of equations becomes,
z = 3400x + 1600y
3000x + 800y ≤ 80,000.
x + y ≤ 54.
Plotting these equations gives the following graph.
We can see that the graph obtained is equivalent to Graph B.
Further, we know that the maximum value of the objective function z = 3400x + 800y is obtained at the boundary point of the solution region.
Thus, any point inside the solution region will give a feasible solution not maximum solution.
Hence, ( 30,20 ) will not maximize the profit as it lies inside the solution region.
