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◆ Define the variables:
Let the calorie content of Candy A = a
and the calorie content of Candy B = b
◆ Form the equations:
One bar of candy A and two bars of candy B have 774 calories. Thus:
a + 2b = 774
Two bars of candy A and one bar of candy B contains 786 calories
2a + b = 786
◆ Solve the equations:
From first equation,
a + 2b = 774
=> a = 774 - 2b
Put a in second equation
2×(774-2b) + b = 786
=> 2×774 - 2×2b + b = 786
=> 1548 - 4b + b = 786
=> -3b = 786 - 1548
=> -3b = -762
=> b = -762/(-3) = 254 calorie
◆ Find caloric content:
Caloric content of candy B = 254 calorie
Caloric content of candy A = a = 774 - 2b = 774 - 2×254 = 774 - 508 = 266 calorie
Answer:
Option b) is correct.
The completed factor of given expression is 
Step-by-step explanation:
Given expression is 
To find the completed factor for the given expression:
:
Taking the common number "2" outside to the above expression we get
Now rewritting the above expression as below
(since 16 can be written as the number 2 to the power of 4)
The above expression is of the form 
Here 
and 
Therefore it becomes
The above expression is of the form
Here 
and 
Therefore it becomes
Therefore
Option b) is correct.
The completed factor of given expression is
