proportion is a statement that two ratios are equal. Which of the following forms a proportion?
A 4:5 = 8:15 B. 3:1 = 9:12 C. 6:8 = 3:4 D. 18:36 = 9:4
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proportion is a statement that two ratios are equal. Which of the following forms a proportion?
A 4:5 = 8:15 B. 3:1 = 9:12 C. 6:8 = 3:4 D. 18:36 = 9:4
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Statement:
Proportion is a statement that two ratios are equal. Which of the following forms a proportion?
A 4:5 = 8:15
B. 3:1 = 9:12
C. 6:8 = 3:4
D. 18:36 = 9:4
Answer:
C. 6:8 = 3:4
Solution:
6:N = 3:4
3 • N = 6 • 4
3n 24
----- = ----
3 3
n = 8 check:
6 × 4 = 3 × N
6 × 4 = 3 × ( 8 )
24 = 24
Thus the ratio is equal
Note: Kahit saan po ilalagay ang N kung sa means o sa extreme basta in one way lang po ang nilagay ko :)
We solve the rest deos not equal ratio:
In letter A. 4:5 = 8:15
4:N = 8:15
8 • N = 4 • 15
8n 60
----- = ----
8 8
n = 7.5 (instead 5) check:
4 × 15 = 8 × N
4 × 15 = 8 × ( 7.5 )
60 = 60 (equal but already wrong)
Thus the ratio is not equal
In letter B. 3:1 = 9:12
3:N = 9:12
9 • N = 3 • 12
9n 36
----- = ----
9 9
n = 4 (intead 1) check:
3 × 12 = 9 × N
3 × 12 = 9 × ( 4 )
36 = 36 (equal but already wrong)
Thus the ratio is not equal
In letter D. 18:36 = 9:4
18:N = 9:4
9 • N = 18 • 4
9n 72
----- = ----
9 9
n = 8 (intead 36) check:
) check: 18 × 4 = 9 × N
18 × 4 = 9 × ( 8 )
72 = 72 (equal but already wrong)
Thus the ratio is not equal
Hope this to you :)
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