Three-digit 4882

There were 301 postage stamps in the desk drawer. They were stamps for 2, 3, and 5 crowns. The number of each species can be written as a three-digit number. The total price of all stamps is CZK 1,003. How many stamps were there?

Correct answer:

a =  100
b =  101
c =  100

Step-by-step explanation:

$$\begin{gathered} a+b+c=301 \\ 2a+3b+5c=1003 \\ a>99 \\ b>99 \\ c>99 \\ m=2\cdot 100+3\cdot 100+5\cdot 100=1000 \\ d=1003-m=1003-1000=3 \\ a=100 \end{gathered}$$

$b=101$

$c=100$

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