Answer:
For every 7 votes cast for Candidate B, there were 5 votes cast for Candidate A.
Step-by-step explanation:
Given:
Candidate Votes
Candidate A 35
Candidate B 49
Candidate C 28
To find:
For every (blank) votes cast for Candidate B, there were (blank ) votes cast for Candidate A
Solution:
First we have to find the ratio of B and A
B : A
49 : 35
Now lets simplify the above ratio:
reduce the ratio using greatest common factor (GCF).
Use factorization method:
Write the numbers 35 and 49 as the product of their divisors.
The factors of 35 are: 1, 5, 7, 35
This means 35 is divided by 1, 5, 7 and 35 itself
The factors of 49 are: 1, 7, 49
This means 49 is divided by 1, 7 and 49 itself
Both have 7 common in them
Hence the greatest common factor is 7.
Next, divide both terms i.e. 35 and 49 by the greatest common factor, 7
49 / 7 = 7
35 / 7 = 5
The ratio 49 : 35 can be reduced to lowest terms by dividing both terms by the greatest common factor GCF = 7
So,
49 : 35 = 7 : 5
Hence
For every 7 votes cast for Candidate B, there were 5 votes cast for Candidate A.
