Brain Teasers
Pencil Patterns
Cathy, Deena, Jeff, Pete, and Sara are collecting and trading pencils. When they began, each person had 5 pencils of the same pattern. Each person's pencils were a different pattern from everyone else's pattern. Anyone who got a pencil in a trade kept that pencil. This is what happened:
Jeff began with 5 cartoon pencils and traded pencils with Pete, Cathy, and Deena.
Sara began with 5 solid colored pencils, including 3 solid orange and 2 solid green. She traded 1 orange pencil with each other girl and 1 green pencil with Pete.
Cathy had 5 pencils illustrated with horses. They were her favorite, so she only traded with Jeff and Sara, and kept the rest of her pencils.
Pete exchanged 1 of his striped pencils for a polka-dot pencil.
What combination of pencils does each person have at the end of the trades? Include the color if the information is given.
Jeff began with 5 cartoon pencils and traded pencils with Pete, Cathy, and Deena.
Sara began with 5 solid colored pencils, including 3 solid orange and 2 solid green. She traded 1 orange pencil with each other girl and 1 green pencil with Pete.
Cathy had 5 pencils illustrated with horses. They were her favorite, so she only traded with Jeff and Sara, and kept the rest of her pencils.
Pete exchanged 1 of his striped pencils for a polka-dot pencil.
What combination of pencils does each person have at the end of the trades? Include the color if the information is given.
Answer
After trading, each person has the following pencils:Jeff: 2 cartoon character, 1 striped, 1 horse, and 1 polka dot
Pete: 1 cartoon character, 1 solid green, 1 polka-dot, and 2 striped
Cathy: 1 cartoon character, 1 solid orange, and 3 horse
Deena: 1 cartoon character, 1 solid orange, 1 striped, and 2 polka-dot
Sara: 1 solid orange, 1 solid green, 1 striped, 1 polka-dot, and 1 horse
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