Set 1: Ratio Proportion Fundamentals(Easy)
1.
If there are 15 cats and 10 dogs in a shelter, what is the ratio of dogs to cats?
Solution (C):
Ratio of Dogs : Cats = \(10 : 15\).
Divide both by 5: \(2 : 3\).
2.
What is 0.2% of 500?
Solution (B):
\( 0.2\% = \frac{0.2}{100} = 0.002 \).
\( 0.002 \times 500 = 1 \).
3.
The ratio of 0.6 to 8 is equivalent to which of the following?
Solution (D):
\(\frac{0.6}{8} = \frac{6}{80}\).
Simplify by dividing by 2: \(\frac{3}{40}\).
4.
If 40% of a number is 80, what is 20% of that number?
Solution (A):
Since 20% is exactly half of 40%, the value will be half of 80.
\( 80 \div 2 = 40 \).
5.
What is the ratio of 1 foot 6 inches to 1 yard? (1 yard = 3 feet)
Solution (E):
Convert everything to inches.
1 foot 6 inches = \(12 + 6 = 18\) inches.
1 yard = 3 feet = \(3 \times 12 = 36\) inches.
Ratio: \(18 : 36 = 1 : 2\).
6.
A shirt priced at $60 is sold for $45. What is the discount percentage?
Solution (C):
Discount = \(60 – 45 = 15\).
Percent = \(\frac{15}{60} \times 100\% = \frac{1}{4} \times 100\% = 25\%\).
7.
If \(3x = 4y\), what is the ratio \(x:y\)?
Solution (B):
\( \frac{x}{y} = \frac{4}{3} \).
So, \(x:y = 4:3\).
8.
A recipe calls for 2 cups of sugar for every 5 cups of flour. If you use 15 cups of flour, how much sugar is needed?
Solution (D):
Ratio \( \frac{\text{Sugar}}{\text{Flour}} = \frac{2}{5} \).
If Flour = 15, let Sugar = \(x\).
\( \frac{x}{15} = \frac{2}{5} \implies x = \frac{2}{5} \times 15 = 6 \).
9.
What percent of 80 is 20?
Solution (A):
\( \frac{20}{80} = \frac{1}{4} = 0.25 = 25\% \).
10.
A box contains 5 red balls and 15 blue balls. What percentage of the balls are red?
Solution (C):
Total balls = \(5 + 15 = 20\).
Percent Red = \( \frac{5}{20} \times 100\% = \frac{1}{4} \times 100\% = 25\% \).
Score: 0 / 0