Ratio and Proportion: 0.4:40:: X: 400
X=50
X=5
X=4
X=25
Correct Answer : C
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.
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Related Questions
Correct Answer is D
Explanation
0.9 divided by 0.15 is determined using a calculator as follows
\(\frac{0.9}{0.15}=6\)
Correct Answer is D
Explanation
First step is to find to convert the given fractions into approximate decimals as follows:
7/25=0.28
8/15=0.53
4/19=0.21
4/5=0.8
From the above, 0.8 is the largest value. Then, it follows that 4/5 is the largest number
Correct Answer is D
Explanation
First convert the mixed fractions into improper fractions as follows
\(1 2/5=\frac{\left(5\ast1\right)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)
\(2 5/9=\frac{\left(9\ast2\right)+5}{9}=\frac{18+5}{9}=\frac{23}{9}\)
Then, multiply the fractions
\(1/3 x 1 2/5 x 2 5/9=\frac{1}{3}\ast\frac{7}{5}\ast\frac{23}{9}=\frac{161}{135}\)
As a mixed fraction 161/135 becomes
1 26/135
Correct Answer is A
Explanation
If the woman cuts her consumption by 85%, then she consumes 15% (100-85) of coffee. Then, the number of cups allowed to drink daily is
\(\frac{15}{100}\ast6\ cups=0.9\ cups\)
The number of ounces of coffee she is allowed to drink is determined by utilizing the relation, 1 cup=8 ounces as follows:
\(0.9\ cups\ast\frac{8\ ounces}{1\ cup}=7.2\ ounces\)
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