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MATH / Amy, Ben, Carl, and Debbie each have some coins. Ben has three times the number…

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problem

Amy, Ben, Carl, and Debbie each have some coins. Ben has three times the number of coins that Amy has and a third of the number of coins that Carl has, and Debbie has two-thirds the number of coins that Carl has. The number of coins that Amy has, multiplied by the number of coins that Ben has, multiplied by the number of coins that Carl has, multiplied by the number of coins that Debbie has, is 162162. How many coins do the four children have all together?
Plain-text mathematical notation (without MathML)
Amy, Ben, Carl, and Debbie each have some coins. Ben has three times the number of coins that Amy has and a third of the number of coins that Carl has, and Debbie has two-thirds the number of coins that Carl has. The number of coins that Amy has, multiplied by the number of coins that Ben has, multiplied by the number of coins that Carl has, multiplied by the number of coins that Debbie has, is 162. How many coins do the four children have all together?
Original LaTeX notation
Amy, Ben, Carl, and Debbie each have some coins. Ben has three times the number of coins that Amy has and a third of the number of coins that Carl has, and Debbie has two-thirds the number of coins that Carl has. The number of coins that Amy has, multiplied by the number of coins that Ben has, multiplied by the number of coins that Carl has, multiplied by the number of coins that Debbie has, is $162$. How many coins do the four children have all together?

level

Level 4

type

Algebra

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Source and history

task_id
2ec5750c-781d-5515-8738-2f54f0953dee
task_key
algebra--test--2ec5750c-781d-5515-8738-2f54f0953dee
task_revision_id
1
config / split
algebra / test

Official source

initial import