Ratio and Proportion: 9:X :: 5: 300 (Enter numeric value only.)
Correct Answer : ["540"]
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.
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Related Questions
Correct Answer is ["8"]
Explanation
Since the time of comparison is 24 hours in both cases, the number of chickens is determined using the following relation
\(\frac{24\ eggs\ast2 chickens}{6 eggs}=8 chickens\)It will take24\ eggs\ast2 chickens6 eggs=8 chickens 24 hours to lay 24 eggs
Correct Answer is C
Explanation
First step is to find the least common divisor of the denominators 19, 25, 5 and 15, which is 1425
Next, multiply each fraction with 1425 as follows
\(\frac{4}{19}\)* 1425=300
\(\frac{4}{25}\)* 1425=228
\(\frac{3}{5}\)* 1425=855
\(\frac{3}{15}\)* 1425=285
From the calculations above, 855 is the largest number among the four computed numbers. Then, it follows that\(\frac{3}{5}\) is the largest number.
Correct Answer is A
Explanation
\(\frac{x}{4}=\frac{9}{x}\)
Cross-multiply the above proportion equation
\(x^2=9\ast4\)
\(x^2=36\)
Take square root on both sides
\(\sqrt{x^2}=\sqrt{36}\)
\(x=\pm6 \ (6\ or\ -6)\)
Taking the positive square root, x=6
Correct Answer is A
Explanation
The ratio of females to students enrolling to nursing school is 7:8. So the percent of girls in the class is:
\(\frac{7\ }{8\ }\ast100\%\ =\ 87.5%\)
Therefore, the class is made of 87.5% of females enrolling to a nursing school
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