The ratio of apple juice to cranberry juice in a punch is 3:9. Which ratio is equivalent to 3 / (9') ?
A 27:54
B 9 to 18
C 6/27
D 15 to 45
To find the equivalent ratio to 3/(9'), we need to simplify 3 and 9'.
Since 3 and 9 are both divisible by 3, we can divide both numbers by 3:
3 ÷ 3 = 1
9 ÷ 3 = 3
Therefore, the simplified ratio is 1:3.
To find the equivalent ratio, we need to multiply both terms by the same number:
1 × 9 = 9
3 × 9 = 27
Therefore, the ratio equivalent to 3/(9') is 9:27.
The answer is A.
To find the equivalent ratio to 3 / (9'), we need to simplify the ratio 3:9.
The greatest common divisor (GCD) of 3 and 9 is 3.
To simplify the ratio, divide both numbers by the GCD (3):
3 ÷ 3 = 1
9 ÷ 3 = 3
So, the simplified ratio is 1:3.
Now, we need to find the ratio that is equivalent to 1:3.
To do that, multiply both numbers in the simplified ratio by the same factor.
The factor required to go from 3 to 9 is 3.
1 × 3 = 3
3 × 3 = 9
So, the equivalent ratio to 3 / (9') is 3:9.
Therefore, the correct answer is A) 27:54.