What is the ratio of 15 and 12.5 with explanation?
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Answers
Answer:
i give you a example
What is a ratio?
The method of comparing two quantities of the same kind and in the same units by division is known as a ratio.
• The symbol to denote the ratio is :
• If a and b are two quantities, they can be expressed as a : b.
Here, a is called antecedent and b is called consequent.
• Ratio has no units.
• It can be expressed as a fraction. 2 : 3 can be expressed as 2/3.
• The two quantities that are compared should be of the same kind. 3 liters and 2 grams cannot be compared.
Divide $105 into three parts such that the first part is 4/5 of the second and the ratios between the second and third part is 5 : 6.
Solution:
Let the ratio of the three parts be a : b : c
a = ⁴/₅b
Therefore, a/b = 4/5
i.e., a : b = 4/5 : 1
Again, b/c = 5/6
Therefore, b/c = 1/(6/5)
i.e., b : c = 1 : 6/5
Therefore, a : b : c = 4/5 : 1 : 6/5
The L.C.M of the denomination is 5
Therefore, a : b : c
= 4/5 × 5 : 1 × 5 : 6/5 × 5
= 4 : 5 : 6
Now, total number of parts = 4 + 5 + 6 = 15
Therefore, first part = 4/15 × 105 = 28
Therefore, second part = 5/15 × 105 = 35
Therefore, third part = 6/15 × 105 = 42
5. Two numbers are in the ratio 1 : 4. Their difference is 30. Find the numbers.
Solution:
Let the common ratio be x. So, the smaller number is 1x.
And the greater number is 4x.
Their difference is 30.
i.e., 4x - x = 30
3x = 30
x = 30/3
x = 10
Therefore, 1x = 1 × 10 = 10
4x = 4 × 10 = 40
Therefore, the two numbers are 10 and 40.
6. The ratio of number of boys and girls in a class is 9 : S. If the number of boys is 27, find the number of girls.
Solution:
(No. of boys)/(No. of girls) = 9/5
Then, 27/(No. of girls) = 9/5
Therefore, No. of girls = (27 × 5)/9
The number of girls in the class is 15.