Difference between revisions of "1973 AHSME Problems/Problem 33"
Rockmanex3 (talk | contribs) (Solution to Problem 33) |
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==See Also== | ==See Also== | ||
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[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] |
Latest revision as of 14:04, 20 February 2020
Problem
When one ounce of water is added to a mixture of acid and water, the new mixture is acid. When one ounce of acid is added to the new mixture, the result is
acid. The percentage of acid in the original mixture is
Solution
Let be the original number of ounces of acid and
be the original number of ounces of water. We can write two equations since we know the percentage of acid after some water and acid.
Cross-multiply to get rid of the fractions.
Solve the system to get
and
. The percentage of acid in the original mixture is
.
See Also
1973 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 32 |
Followed by Problem 34 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 | ||
All AHSME Problems and Solutions |