Question

Find the general solution for the diophantine equation (do not use trial and error) 1.44x+2.49y=552.75 see question below

The Student’s Union at the Pythagorean School wants to buy as many pens and notebooks as are available at the agora. Homer, the Education Officer, finds that the price of a pen is €1.44 while the price of a notebook is €2.49. He buys all the available pens and notebooks and on his return to the school discovers that in total he spent precisely €552.75. Find all the possibilities for the number of pens and number of notepads bought by Homer.

Answer 1

Put n-4218, we get and

Put n=4219, we get

put n=4220, we get

put n=4221, we get

put n=4222, we ge