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OlympiadBench / 2341 / A chemist has three bottles, each containing a mixture of acid and water:

Problem

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

answer type

Numerical

is multiple answer

false

language

English

question

A chemist has three bottles, each containing a mixture of acid and water: - bottle A contains $40 \mathrm{~g}$ of which 10%10 \% is acid, - bottle B contains $50 \mathrm{~g}$ of which 20%20 \% is acid, and - bottle C contains $50 \mathrm{~g}$ of which 30%30 \% is acid. She uses some of the mixture from each of the bottles to create a mixture with mass $60 \mathrm{~g}$ of which 25%25 \% is acid. Then she mixes the remaining contents of the bottles to create a new mixture. What percentage of the new mixture is acid?
Plain-text mathematical notation (without MathML)
A chemist has three bottles, each containing a mixture of acid and water:

- bottle A contains $40 \mathrm{~g}$ of which 10% is acid,
- bottle B contains $50 \mathrm{~g}$ of which 20% is acid, and
- bottle C contains $50 \mathrm{~g}$ of which 30% is acid.

She uses some of the mixture from each of the bottles to create a mixture with mass $60 \mathrm{~g}$ of which 25% is acid. Then she mixes the remaining contents of the bottles to create a new mixture. What percentage of the new mixture is acid?
Original LaTeX notation
A chemist has three bottles, each containing a mixture of acid and water:

- bottle A contains $40 \mathrm{~g}$ of which $10 \%$ is acid,
- bottle B contains $50 \mathrm{~g}$ of which $20 \%$ is acid, and
- bottle C contains $50 \mathrm{~g}$ of which $30 \%$ is acid.

She uses some of the mixture from each of the bottles to create a mixture with mass $60 \mathrm{~g}$ of which $25 \%$ is acid. Then she mixes the remaining contents of the bottles to create a new mixture. What percentage of the new mixture is acid?

question type

Open-ended

subject

Math

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