Ratio and Proportion: 100: 2 :: 60: X
X=1.2
X=12
X=1.6
X=2.2
Correct Answer : A
The proportion equation of the ratio 100:2=60:X is
\(\frac{100}{2}=\frac{60}{X}\)
Cross-multiply to find the value of X
\(100X=2\ast60\)
\(100X=120\)
Divide both sides by 100
\(\frac{100X}{100}=\frac{120}{100}\)
\(X=1.2\)
The value of X is 1.2
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Related Questions
Correct Answer is A
Explanation
0.004 as a fraction is
\(\frac{4}{1000}=\frac{1}{250}\)
In ratio form 1/250=1:250
Thus 0.004 as a ratio is 1:250.
Correct Answer is B
Explanation
Use 1 pint =16 ounces to convert between pints and ounces
\(\frac{3}{4}\ pints\ast\frac{16\ ounces}{1\ pint}=12\ ounces\)
Correct Answer is B
Explanation
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 to3:10=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.
Correct Answer is C
Explanation
Cost of cultivating 240 acres
\(240\ acres\ast\frac{$188.99}{1\ acre}=$45357.60\)
Money from yield of bushels
\(240\ acres\ast\frac{60\ bushels}{1\ acre}\ast\frac{$5.67}{1\ bushel}=$81648.00\)
Profit=$(81648.00-45357.60)=$ 36290.40
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