Ratio and Proportion: 3:10 :: 12: X
X=0.27
X=40
X= 2.5
X= 3.6
Correct Answer : B
A ration of the form a:b=c:d is converted to a proportion as \(\frac{a}{b}=\frac{c}{d}\) where b and d are not equal to zero. Now applying the same concept to 3:10=12:X yields,
\(\frac{3}{10}=\frac{12}{X}\)
Find the value of X by cross-product
\(3X=12\ast10\)
Divide both sides by 3
\(\frac{3X}{3}=\frac{120}{3}\)
\(X=40\)
Thus, the value of X is 40.
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Related Questions
Correct Answer is D
Explanation
First step is to find the least common divisor of denominators 3, 6, and 5 which is 30. Then
\(\frac{2}{3}+\frac{1}{6}+\frac{2}{5}=\frac{2\left(10\right)+5+2\left(6\right)}{30}\)\(=\frac{20+5+12}{30}=\frac{37}{30}=1\frac{7}{30}\)
Correct Answer is ["540"]
Explanation
A ratio of the form a:b=c:d converted to a proportion equation becomes\(\frac{a}{b}=\frac{c}{d}\)where\(a\ and\ d\neq0\)
Thus, 9:X=5:300 becomes
\(\frac{9}{X}=\frac{5}{300}\)
Cross-multiply to find the value of X
\(9\ast300=5X\)
\(2700=5X\)
Rearranging the above equation
\(5X=2700\)
Divide each side by 5
\(\frac{5X}{5}=\frac{2700}{5}\)
\(X=540\)
The value of X is 540.
Correct Answer is B
Explanation
\(\frac{0.9}{3}=0.3\)
Correct Answer is C
Explanation
The ratio 15:1000=X:100 can be written in proportion as:
\(\frac{15}{1000}=\frac{X}{100}\)
The value of X is determined by cross-products
\(15\ast100=1000X\)
\(1500=1000X\)
Divide both sides by 1000
\(\frac{1500}{1000}=\frac{1000X}{1000}\)
\(1.5=X\)
Thus, the value of X is 1.5
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