Track / Stage 4 / 35 of 340 #295 of 2000

Problem 295

AMC 12 late, AIME early

Number theory Difficulty 4.6 Find the answer

5. On the table, there are several 1-cent and 5-cent coins. The number of coins and their values (in cents) are both two-digit prime numbers, and the four digits that make up these two numbers are exactly $1, 9, 8, 3$ . How many 1-cent and 5-cent coins are there?

Your answer

Official solution

5. A total of 19, including 3 at 1 point each, 16 at 5 points each, and あ is worth 83 points.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.