 A=123

Ratios

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If you have a problem that states that the value of A = 8 and the ratio of A:B = 2:5, you will need to determine how many times the number A is divisible by the corresponding portion of the ratio. In this case, the “2” is the corresponding portion so we would divide 8 by 2 or 8 ÷ 2 = 4. We then must multiply the answer “4” by the portion of the ratio representing B. In this case the number “5” is the portion of the ratio representing B so we multiply 4 x 5 = 20. This then shows us that the ratio of A:B is 2:5 and A = 4 and B = 20.

1.
Find the correct answer that shows the value of A and B.

A=45 and the ratio of A:B = 15:24
A:B is 15:24 and A = 15 and B = 72
A:B is 15:24 and A = 15 and B = 48
A:B is 15:24 and A = 3 and B = 72
A:B is 15:24 and A = 3 and B = 7.2
Since A = 45 we need to divide A by the corresponding portion of the ration which is 15 so 45 ÷ 15 = 3. We then multiply 3 by the portion of the ratio of B which is 24 so 24 x 3 = 72. This makes A:B is 15:24 and A = 3 and B = 72. Answer (c) is the correct answer
2.
Find the correct answer that shows the value of A and B.

A = 15 and the ratio of A:B = 5:9
A:B is 5:9 and A = 15 and B = 9
A:B is 5:9 and A = 75 and B = 9
A:B is 5:9 and A = 3 and B = 45
A:B is 5:9 and A = 3 and B = 27
Since A = 15 we need to divide A by the corresponding portion of the ratio which is 5 so 15 ÷ 5 = 3. We then multiply 3 by the portion of the ratio of B which is 9 so 3 x 9 = 27. This makes A:B is 5:9 and A = 3 and B = 27. Answer (d) is the correct answer
3.
Find the correct answer that shows the value of A and B.

A=63 and the ratio of A:B = 22:37
A:B is 22:37 and A = 2.9 and B = 10.73
A:B is 22:37 and A = 2.9 and B = 107.3
A:B is 22:37 and A = 29 and B = 107.3
A:B is 22:37 and A = 29 and B = 10.73
Since A = 63 we need to divide A by the corresponding portion of the ratio which is 22 so 63 ÷ 22 = 2.86. As the last number to the right of the decimal is a 6 we can round this number up to read 2.9. We then multiply 2.9 by the portion of the ratio of B which is 37 so 2.9 x 37 = 107.3. This makes A:B is 22:37 and A = 2.9 and B = 107.3. Answer (b) is the correct answer
4.
Find the correct answer that shows the value of A and B.

A=10 and the ratio of A:B = 7:8
A:B is 7:8 and A = 14 and B = 112
A:B is 7:8 and A = 14 and B = 1.12
A:B is 7:8 and A = 1.4 and B = 1.12
A:B is 7:8 and A = 1.4 and B = 11.2
Since A = 10 we need to divide A by the corresponding portion of the ratio which is 7 so 10 ÷ 7 = 1.42. As the last number to the right of the decimal is a 2 we can round this number down to read 1.4. We then multiply 1.4 by the portion of the ratio of B which is 8 so 1.4 x 8 = 11.2. This makes A:B is 7:8 and A = 1.4 and B = 11.2. Answer (d) is the correct answer
5.
Find the correct answer that shows the value of A and B.

A=96 and the ratio of A:B = 33:13
A:B is 33:13 and A = 29 and B = 37.7
A:B is 33:13 and A = 2.9 and B = 377
A:B is 33:13 and A = 2.9 and B = 37.7
A:B is 33:13 and A = 29 and B = 3.77
Since A = 96 we need to divide A by the corresponding portion of the ratio which is 33 so 96 ÷ 33 = 2.90. We then multiply 2.90 which can be shortened to 2.9 by the portion of the ratio of B which is 13 so 2.9 x 13 = 37.7. This makes A:B is 33:13 and A = 2.9 and B = 37.7. Answer (c) is the correct answer
6.
Find the correct answer that shows the value of A and B.

A=123 and the ratio of A:B = 21:46
A:B is 21:46 and A = 5.86 and B = 269.6
A:B is 21:46 and A = 5.86 and B = 26.96
A:B is 21:46 and A = 58.6 and B = 269.6
A:B is 21:46 and A = 586 and B = 26.96
Since A = 123 we need to divide A by the corresponding portion of the ratio which is 21 so 123 ÷ 21 = 5.857. As the last number to the right of the decimal is a 7 we can round this number up to read 5.86. We then multiply 5.86 by the portion of the ratio of B which is 46 so 5.86 x 46 = 269.56. As the last number to the right of the decimal is a 6 we can round this number up to read 269.6. This makes A:B is 21:46 and A = 5.86 and B = 269.6. Answer (a) is the correct answer
7.
Find the correct answer that shows the value of A and B.

A=27 and the ratio of A:B = 5:2
A:B is 5:2 and A = 5.4 and B = 10.8
A:B is 5:2 and A = 54 and B = 10.8
A:B is 5:2 and A = 54 and B = 108
A:B is 5:2 and A = 5.4 and B = 108
Since A = 27 we need to divide A by the corresponding portion of the ratio which is 5 so 27 ÷ 5 = 5.4. We then multiply 5.4 by the portion of the ratio of B which is 2 so 5.4 x 2 = 10.8. This makes A:B is 5:2 and A = 5.4 and B = 10.8. Answer (a) is the correct answer
8.
Find the correct answer that shows the value of A and B.

A=78 and the ratio of A:B = 6:14
A:B is 6:14 and A = 13 and B = 18.2
A:B is 6:14 and A = 13 and B = 182
A:B is 6:14 and A = 1.3 and B = 182
A:B is 6:14 and A = 13 and B = 1.82
Since A = 78 we need to divide A by the corresponding portion of the ratio which is 6 so 78 ÷ 6 = 13. We then multiply 13 by the portion of the ratio of B which is 14 so 13 x 14 = 182. This makes A:B is 6:14 and A = 13 and B = 182. Answer (b) is the correct answer
9.
Find the correct answer that shows the value of A and B.

A = 32 and the ratio of A:B = 12:18
A:B is 12:18 and A = 2.7 and B = 48.6
A:B is 12:18 and A = 2.7 and B = 486
A:B is 12:18 and A = 27 and B = 486
A:B is 12:18 and A = 27 and B = 48.6
Since A = 32 we need to divide A by the corresponding portion of the ratio which is 12 so 32 ÷ 12 = 2.66. As the last number to the right of the decimal is a 6 we can round this number up to read 2.7. We then multiply 2.7 by the portion of the ratio of B which is 18 so 18 x 2.7 = 48.6. This makes A:B is 12:18 and A = 2.7 and B = 48.6. Answer (a) is the correct answer
10.
Find the correct answer that shows the value of A and B.

A=19 and the ratio of A:B = 10:20
A:B is 10:20 and A = 19 and B = 20
A:B is 10:20 and A = 1.9 and B = 38
A:B is 10:20 and A = .19 and B = 38
A:B is 10:20 and A = 1.9 and B = 20
Since A = 19 we need to divide A by the corresponding portion of the ratio which is 10 so 19 ÷ 10 = 1.9. We then multiply 1.9 by the portion of the ratio of B which is 20 so 20 x 1.9 = 38. This makes A:B is 10:20 and A = 1.9 and B = 38. Answer (b) is the correct answer
Author:  Christine G. Broome

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