2005 iTest Problems/Problem 14

Revision as of 21:07, 13 October 2025 by Mathloveryeah (talk | contribs) (Created page with "==Problem== A bottle contains <math>5</math> gallons of a <math>10\%</math> solution of oil. How many gallons of pure oil must be added to make a <math>30\%</math> oil solutio...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

A bottle contains $5$ gallons of a $10\%$ solution of oil. How many gallons of pure oil must be added to make a $30\%$ oil solution? (round to the nearest hundredth)

Solution 1

Since the 5 gallons are $10\%$ oil, there are currently $0.5$ gallons of oil. The number of gallons of pure oil that must be added to make a $30\%$ oil solution can be modeled by the following equation in $x$: $\frac{0.5+x}{5+x}=0.3$. Solving, we find that $x=\frac{10}{7}\approx\boxed{1.43}$

See Also

2005 iTest (Problems, Answer Key)
Preceded by:
Problem 13
Followed by:
Problem 15
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 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 TB1 TB2 TB3 TB4