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number theory intermediate
Problem
Walter, Agnes, and Holly are making beaded lizards. Walter has 476 green beads and 32 red beads. Agnes has 104 green beads and 16 red beads. Holly has 281 green beads and 80 red beads. They all share their beads so as to make the largest possible number of lizards. If a beaded lizard requires 94 green beads and 16 red beads, what is the number of green beads left over?
Solution
We have .
There are, however, only red beads, which is only enough to make lizards, and . Therefore, after the possible lizards are made, there are green beads left over.
There are, however, only red beads, which is only enough to make lizards, and . Therefore, after the possible lizards are made, there are green beads left over.
Final answer
109