Ratio and Proportion: 3:10 = 12 : X. Find X.
X=0.27
X=3.6
X= 40
X= 2.5
Correct Answer : C
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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Correct Answer is ["52"]
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\(6734\ students\ast\frac{1 class}{25 students}\ =\ 269.36 classes\)
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Explanation
The ratio 0.5:20=X:200 to proportion equation becomes
\(\frac{0.5}{20}=\frac{X}{200}\)
Cross-multiply to find the value of X
\(0.5\ast200=20x\)
\(100=20x\)
Divide both sides by 20 to find the value of X
\(\frac{100}{20}=\frac{20x}{20}\)
\(5=x\)
Thus, the value of X is 5.
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