Which ratio forms a proportion with 18/30?
(a)20/35
(b)50/90
(c)36/48
(d)60/100
I think the answer is C, am I correct?
No.
What is the simplified form of 18/30?
Which of your choices is the same?
To determine which ratio forms a proportion with 18/30, we need to check if the cross products are equal.
The cross product of 18/30 and a ratio is obtained by multiplying the numerator of one ratio with the denominator of the other ratio, and then comparing it to the cross product of the other two numbers.
Let's check each option:
(a) 20/35:
Cross product of 18/30 and 20/35: (18 * 35) = 630
Cross product of 30 and 20: (30 * 20) = 600
The cross products are not equal, so option (a) does not form a proportion with 18/30.
(b) 50/90:
Cross product of 18/30 and 50/90: (18 * 90) = 1620
Cross product of 30 and 50: (30 * 50) = 1500
The cross products are not equal, so option (b) does not form a proportion with 18/30.
(c) 36/48:
Cross product of 18/30 and 36/48: (18 * 48) = 864
Cross product of 30 and 36: (30 * 36) = 1080
The cross products are not equal, so option (c) does not form a proportion with 18/30.
(d) 60/100:
Cross product of 18/30 and 60/100: (18 * 100) = 1800
Cross product of 30 and 60: (30 * 60) = 1800
The cross products are equal, so option (d) forms a proportion with 18/30.
Therefore, the correct answer is (d) 60/100.