Let 45 notes of 20€ and 18 notes of 50€, how many different forms we can have 1110€?
I don't know write the congruence, I had thought the following:
$$45 x \equiv 1110 \pmod{20}$$
$$18 x \equiv 1110 \pmod{50}$$
2026-03-26 02:56:24.1774493784
The number of ways to form $1110€$ using $45$ notes of $20€$ and $18$ notes of $50€$
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Hint: You can take a zero off (dividing by the GCD of $10$), having $45$ notes of $2$ and $18$ notes of $5$ to make $111$. Now you need an odd number of $5$ notes. What odd numbers leave you within the range that you can make up with the number of $2$ notes you have?