What is the new ratio obtained by adding 4 to the antecedent and 2 to ...
Antecedent is the first term of a ratio and consequent is the second term.
According to the question,
when 4 is added to antecedent,then the new antecedent become (3+4=7) 7.....and the new consequent become (8+2=10) 10..
New Ratio = 7:10
What is the new ratio obtained by adding 4 to the antecedent and 2 to ...
Problem: What is the new ratio obtained by adding 4 to the antecedent and 2 to the consequent of the ratio 3:8?
Solution:
To find the new ratio, we need to add 4 to the antecedent (the first number) and 2 to the consequent (the second number) of the given ratio.
Given ratio: 3:8
Step 1: Add 4 to the antecedent:
Antecedent + 4 = 3 + 4 = 7
Step 2: Add 2 to the consequent:
Consequent + 2 = 8 + 2 = 10
Therefore, the new ratio is 7:10.
This can be represented as:
3:8 → 7:10
Explanation:
The ratio 3:8 represents a comparison between two quantities. In this case, it means that the first quantity is 3 units and the second quantity is 8 units.
When we add 4 to the antecedent and 2 to the consequent, we are increasing both quantities. This means that the first quantity becomes 3 + 4 = 7 units, and the second quantity becomes 8 + 2 = 10 units.
Since the ratio is a way to compare quantities, the new ratio is 7:10, which means that the first quantity is 7 units and the second quantity is 10 units.
Conclusion:
The new ratio obtained by adding 4 to the antecedent and 2 to the consequent of the ratio 3:8 is 7:10.