1963 TMTA High School Algebra I Contest Problem 26

Problem

If sulfuric acid is chemically pure, how many quarts of water must be added to one quart of acid to make a $10\%$ mixture?

$\text{(A)} \quad 1 \quad \text{(B)} \quad 3 \quad \text{(C)} \quad 5 \quad \text{(D)} \quad 7 \quad \text{(E)} \quad 9$

Solution

In a $10\%$ mixture, the ratio of sulfuric acid to the total must be $10\%.$ There is one quart of acid, so there must be $10$ quarts of mixture overall.

That means that there would be $\boxed{\text{(E)} 9}$ quarts of water.

1963 TMTA High School Mathematics Contests (Problems)
Preceded by Problem 25	TMTA High School Mathematics Contest Past Problems/Solutions	Followed by Problem 27

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1963 TMTA High School Algebra I Contest Problem 26

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