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MMLU-Pro / 7777 / A tank originally contains 100gal of fresh water. Then water…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A tank originally contains 100gal100 \mathrm{gal} of fresh water. Then water containing 12lb\frac{1}{2} \mathrm{lb} of salt per gallon is poured into the tank at a rate of 2gal/min2 \mathrm{gal} / \mathrm{min}, and the mixture is allowed to leave at the same rate. After $10 \mathrm{~min}$ the process is stopped, and fresh water is poured into the tank at a rate of 2gal/min2 \mathrm{gal} / \mathrm{min}, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional $10 \mathrm{~min}$.
Plain-text mathematical notation (without MathML)
A tank originally contains 100gal of fresh water. Then water containing (1)/(2)lb of salt per gallon is poured into the tank at a rate of 2gal/min, and the mixture is allowed to leave at the same rate. After $10 \mathrm{~min}$ the process is stopped, and fresh water is poured into the tank at a rate of 2gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional $10 \mathrm{~min}$.
Original LaTeX notation
A tank originally contains $100 \mathrm{gal}$ of fresh water. Then water containing $\frac{1}{2} \mathrm{lb}$ of salt per gallon is poured into the tank at a rate of $2 \mathrm{gal} / \mathrm{min}$, and the mixture is allowed to leave at the same rate. After $10 \mathrm{~min}$ the process is stopped, and fresh water is poured into the tank at a rate of $2 \mathrm{gal} / \mathrm{min}$, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional $10 \mathrm{~min}$.

category

math

options

  1. 6.3 lb
  2. 7.42 lb
  3. 7 lb
  4. 10 lb
  5. 8.5 lb
  6. 9.5 lb
  7. 9 lb
  8. 6 lb
  9. 5 lb
  10. 8.1 lb

src

scibench-diff

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Source and history

upstream_id / Original problem ID
7777
task_id
049cf52c-7139-589c-b1b0-15a71174960c
task_key
default--test--7777
task_revision_id
1
config / split
default / test

Official source

initial import