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 A
Explanation
The number of packets of a balloon to purchase is evaluated as follows
\(16\ children\ast\frac{15 balloons}{1 child}\ast\frac{1 packet}{50 balloons}=\frac{24}{5}=4.8 packets\)
Approximating 4.8 to 5, the mother will have to buy 5 packets of balloons.
Correct Answer is D
Explanation
Cost of cultivating 240 acres
\(\frac{240\ acres\ast188.99}{1 acre}=45357.60\)which is 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
Correct Answer is D
Explanation
If the woman cuts her consumption by 75%, then she consumes 25% (100-75) of coffee. Then, the number of cups allowed to drink
\(\frac{25}{100}\ast5\ cups=1.25\ cups\)
The number of ounces of coffee she is allowed to drink is:
\(\frac{1.25\ cups\ast8 ounces}{1 cup}=10 ounces\)
Correct Answer is ["11"]
Explanation
The number of boys in a class is 44% of students in a class
\(\frac{44}{100}\ast25=11\ boys\)
Therefore, there are 11 boys in a class.
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