Compare the ratios 7:4 and 12:5 using the following tables. Finish the tables by filling in the missing values A and B. 7 4 14 8 21 12 28 16 A B 12 5 24 10 36 15 48 20 60 25 (1 point) Responses A = 35 and B = 20. upper A equals 35 and upper B equals 20 . A = 35 and B = 18. upper A equals 35 and upper B equals 18 . A = 32 and B = 20. upper A equals 32 and upper B equals 20 . A = 32 and B = 18.
To compare the ratios 7:4 and 12:5, we can simplify each ratio by dividing both numbers by their greatest common divisor.
For the ratio 7:4,
7 ÷ 1 = 7
4 ÷ 1 = 4
So, the simplified ratio is 7:4.
For the ratio 12:5,
12 ÷ 1 = 12
5 ÷ 1 = 5
So, the simplified ratio is 12:5.
Comparing the simplified ratios, we can see that 7:4 is smaller than 12:5.
Therefore, the correct answer is A = 35 and B = 20.
To compare the ratios 7:4 and 12:5, we can use the values from the tables:
For the ratio 7:4:
- When the numerator (7) is multiplied by 2, the denominator (4) is multiplied by 2 as well. So, we have 14:8.
- When the numerator (7) is multiplied by 3, the denominator (4) is multiplied by 3 as well. So, we have 21:12.
- When the numerator (7) is multiplied by 4, the denominator (4) is multiplied by 4 as well. So, we have 28:16.
For the ratio 12:5:
- When the numerator (12) is multiplied by 2, the denominator (5) is multiplied by 2 as well. So, we have 24:10.
- When the numerator (12) is multiplied by 3, the denominator (5) is multiplied by 3 as well. So, we have 36:15.
- When the numerator (12) is multiplied by 4, the denominator (5) is multiplied by 4 as well. So, we have 48:20.
By comparing the two ratios, we can see that the values for A and B are:
- A = 35 (7 * 5)
- B = 20 (4 * 5)
Therefore, the correct answer is A = 35 and B = 20.
To compare the ratios 7:4 and 12:5 using the given tables, we need to find the missing values for A and B.
From the first table, we can see that the numerator (upper value) of the first ratio, 7:4, increases by 7 for each subsequent value. So, to find the missing value A, we need to add 7 to the last given value of 28. Therefore, A = 28 + 7 = 35.
Similarly, from the second table, we can observe that the numerator of the second ratio, 12:5, also increases by 12 for each subsequent value. Hence, to find the missing value B, we need to add 12 to the last given value of 48. Therefore, B = 48 + 12 = 60.
Therefore, the correct answer is A = 35 and B = 60.