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MATH / Denali and Nate work for a dog walking business and are paid for each dog they…

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problem

Denali and Nate work for a dog walking business and are paid for each dog they walk. Denali is responsible for 1616 dogs and Nate is responsible for 1212 dogs. Under the company's new policy, they will be assigned or unassigned new dogs in groups of xx dogs. The ratio of Denali's pay to Nate's pay would be the same if Denali started walking 4x4x more dogs and Nate stayed at 1212 dogs or if xx of Nate's dogs were reassigned to Denali. Find xx if x≠0x\neq0.
Plain-text mathematical notation (without MathML)
Denali and Nate work for a dog walking business and are paid for each dog they walk. Denali is responsible for 16 dogs and Nate is responsible for 12 dogs. Under the company's new policy, they will be assigned or unassigned new dogs in groups of x dogs. The ratio of Denali's pay to Nate's pay would be the same if Denali started walking 4x more dogs and Nate stayed at 12 dogs or if x of Nate's dogs were reassigned to Denali. Find x if x≠0.
Original LaTeX notation
Denali and Nate work for a dog walking business and are paid for each dog they walk. Denali is responsible for $16$ dogs and Nate is responsible for $12$ dogs. Under the company's new policy, they will be assigned or unassigned new dogs in groups of $x$ dogs. The ratio of Denali's pay to Nate's pay would be the same if Denali started walking $4x$ more dogs and Nate stayed at $12$ dogs or if $x$ of Nate's dogs were reassigned to Denali. Find $x$ if $x\neq0$.

level

Level 5

type

Algebra

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task_id
79c50c07-cd73-502c-8909-d44094ba2780
task_key
algebra--test--79c50c07-cd73-502c-8909-d44094ba2780
task_revision_id
1
config / split
algebra / test

Official source

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