Choose the statement that correctly lists equivalent ratios. A. 1 : 6 = 20 : 120 = 5 : 30 B. 1 : 6 = 4 : 18 = 6 : 36 C. 1 : 8 = 20 : 120 = 3 : 24 D. 1 : 8 = 3 : 32 = 5 : 48
To determine which statement correctly lists equivalent ratios, we need to compare the ratios provided and see if they are equal.
Let's examine each option:
A. 1 : 6 = 20 : 120 = 5 : 30
If we simplify the ratios, we find that:
1/6 is not equal to 20/120 (since 1/6 simplifies to 1/6 and 20/120 simplifies to 1/6)
Therefore, A is not a correct answer.
B. 1 : 6 = 4 : 18 = 6 : 36
If we simplify the ratios, we find that:
1/6 is not equal to 4/18 (since 1/6 simplifies to 1/6 and 4/18 simplifies to 2/9)
Therefore, B is not a correct answer.
C. 1 : 8 = 20 : 120 = 3 : 24
If we simplify the ratios, we find that:
1/8 is equal to 20/120 (since both ratios simplify to 1/8)
However, 20/120 is not equal to 3/24 (which simplifies to 1/8)
Therefore, C is not a correct answer.
D. 1 : 8 = 3 : 32 = 5 : 48
If we simplify the ratios, we find that:
1/8 is equal to 3/32 (since both ratios simplify to 1/8)
Also, 3/32 is equal to 5/48 (since both ratios simplify to 5/48)
Therefore, D is a correct answer.
In conclusion, the statement that correctly lists equivalent ratios is D. 1 : 8 = 3 : 32 = 5 : 48.