2023 AMC 8 Problem 14

Nicolas is planning to send a package to his friend Anton, who is a stamp collector. To pay for the postage, Nicolas would like to cover the package with a large number of stamps. Suppose he has a collection of 5-cent, 10-cent, and 25-cent stamps, with exactly 20 of each type. What is the greatest number of stamps Nicolas can use to make exactly \$7.10 in postage?

(Note: The amount \$7.10 corresponds to 7 dollars and 10 cents. One dollar is worth 100 cents.)

\textbf{(A)} 45 \qquad \textbf{(B)} 46 \qquad \textbf{(C)} 51 \qquad \textbf{(D)} 54 \qquad \textbf{(E)} 55

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.