Ratio and Proportion: 200: X:: 100: 0.8 (Enter numeric value only.)
Correct Answer : ["1.6"]
The ratio 200:X=100:0.8 to proportion equation becomes
\(\frac{200}{X}=\frac{100}{0.8}\)
Find value of X by cross-products
\(200\ast0.8=100X 160=100X \)
Divide both sides by 100
\(\frac{160}{100}=\frac{100X}{100}\)
1.6 = X
Thus, X=1.6
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Related Questions
Correct Answer is B
Explanation
First step is to find the least common divisor of denominators 3, 4, and 6 which is 12. Then
\(\frac{1}{3}+\frac{1}{4}+\frac{5}{6}=\frac{1\left(4\right)+3+5\left(2\right)}{12} =\frac{4+3+10}{12}=\frac{17}{12}=1\frac{5}{12} \)
Correct Answer is C
Explanation
The ratio 0.4:40=X:400 to proportion equation becomes
\(\frac{0.4}{40}=\frac{X}{400}\)
Cross-multiply to find the value of X
\(0.4\ast400=40X 160=40X \)
Divide both sides by 40 to find the value of X
\(\frac{160}{40}=\frac{40X}{40} 4=X \)
Thus, the value of X is 4.
Correct Answer is A
Explanation
Compare the four fractions, find the least common divisor for denominators 7, 6, 9 and 8 which is 504.
Now multiply each fraction with 504 as:
4/6*504=336
4/8*504=258
4/9*504=224
4/7*504=288
From the above calculations, 336 is the greatest, which follows that 4/6 is the largest fraction.
Correct Answer is D
Explanation
The proportion equation of the ratio 100:3=300:X is
\(\frac{100}{3}=\frac{300}{X}\)
ross-multiply to find the value of X
\(100X=3\ast300 100X=900 \)
Divide both sides by 100
\(\frac{100X}{100}=\frac{900}{100} X=9 \)
The value of X is 9
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