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2 answers:
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This is a problem of Difference-of-squares. We know that for a difference of squares 
the factorization is given by:
To learn this you need to remember that a <em>difference</em> means <em>subtraction.</em> So applying those concepts we can solve this problem step by step.
Applying distributive property:
Applying distributive property again:
Simplifying:
<em>The correct answer is C</em>
To learn this you need to remember that a <em>difference</em> means <em>subtraction.</em> So applying those concepts we can solve this problem step by step.
Applying distributive property:
Applying distributive property again:
Simplifying:
<em>The correct answer is C</em>
Answer:
Number of pens and pencils sold are 490 and 510 respectively.
Step-by-step explanation:
Let, number of pens = x and the number of pencils = y.
It is given that,
Cost of one pen = 10 cents = 0.1 dollar
Cost of one pencil = 5 cents = 0.05 dollar
As, the total number of writing utensils sold are 100. So, we have,
Also, the total sales is $74.50 gives,
Thus, the system of equations is,
x + y = 1000 .................................... (1)
0.1x + 0.05y = 74.50 .....................(2)
Multiply (1) by 0.1 and subtract both the equations, we get,
0.05y = 25.5 i.e. y= 510
So, x= 1000- 510 i.e. x= 490.
So, the number of pens and pencils sold are 490 and 510 respectively.