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.