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Questions and Answers
What is the tool used to compare two or more quantities by division?
What is the tool used to compare two or more quantities by division?
- Simple Interest
- Percentage
- Average
- Ratio (correct)
In the ratio a : b : c, how is the second part obtained when dividing a given number A?
In the ratio a : b : c, how is the second part obtained when dividing a given number A?
- b / (a + b + c) * A
- A / (a + b + c)
- c / (a + b + c) * A (correct)
- a + b + c
When are four quantities said to be in proportion?
When are four quantities said to be in proportion?
- When a + b = c + d
- When a / b = c / d
- When a : b = c : d (correct)
- When a * b = c * d
What is the mean proportional if a : b = b : c?
What is the mean proportional if a : b = b : c?
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In the expression (mp + nr + ot) : (mq + ns + ou), what is the ratio if p : q = r : s = t : u = 2 : 3?
In the expression (mp + nr + ot) : (mq + ns + ou), what is the ratio if p : q = r : s = t : u = 2 : 3?
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Study Notes
Ratios and Proportions
- A ratio is used to compare two or more quantities by division.
Obtaining the Second Part of a Ratio
- In the ratio a : b : c, the second part (b) is obtained by dividing a given number A by a.
Proportion
- Four quantities are said to be in proportion when the ratio of the first and second quantities is equal to the ratio of the third and fourth quantities.
Mean Proportional
- If a : b = b : c, then b is the mean proportional between a and c.
Equivalent Ratios
- If p : q = r : s = t : u = 2 : 3, then the ratio (mp + nr + ot) : (mq + ns + ou) is also equal to 2 : 3.
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