Problem 1 :
Alexander the Great’s Empire : Alexander the Great conquered a vast empire spanning 1,000,000 square miles. If 3/8 of his empire was in Asia and the rest was in Europe, how many square miles was his empire in Europe ?
Solution :
A vast empire spanning = 1,000,000 square miles
Empire was in Asia = 3/8
Rest was in Europe = ?
Empire state as quantity of land in Asia = (1 - 3/8)
= 1,000,000 × 0.625
= 625000
So, 625000 square miles was his empire in Europe.
Problem 2 :
Amelia Earhart's Flights : Amelia Earhart completed 15 long - distance flights during her aviation career. If 3/5 of her flights were solo flights and the rest were with a co - pilot, how many flights did she complete with co - pilot ?
Solution :
Number of flights = 15 long distance flights
Solo flights = 3/5
Rest were with a co - pilot = ?
= 1 - 3/5
Total number of flights = Number of flights × co - pilot
= 3 × 2
= 6
So, she has completed with 6 co - pilot.
Problem 3 :
Albert Einstein's Theories : Albert Einstein proposed 8 revolutionary theories during his lifetime. If 2/3 of his theories were in the field of physics and the rest were in mathematics, how many theories did he propose in mathematics ?
Solution :
Revolutionary theories = 8
Field of physics = 2/3
Rest were in mathematics = ?
= 8 × 1/3
= 8/3
So, he has proposed 8/3 theories.
Problem 4 :
Cleopatra's Army : Cleopatra commanded an army of 1,000 soldiers. If 3/4 of her army were foot soldiers and the rest were archers, how many archers did she have ?
Solution :
Number of soldiers = 1000
Foot soldiers = 3/4
Rest were archers = ?
Total archers = 1000 × 1/4
= 250
Hence she have 250 archers.
Problem 5 :
George Washington's Troops : During the Revolutionary War, George Washington had a total of 10,000 troops. If 3/5 of his troops were regular soldiers and the rest were militia, how many militia soldiers did he have ?
Solution :
Total number of troops = 10,000
Regular soldiers = 3/5
Rest were militia = ?
Number of militia = 1 - 3/5
Number of militia soldiers = Total number of troops × Number of militia
= 10,000 × 2/5
= 4000
So, number of militia soldiers is 4000.
Problem 6 :
Joan of Arc's Army : Joan of Arc led an army of 5,000 soldiers. If 2/3 of her army were cavalry and the rest were infantry, how many infantry soldiers did she have ?
Solution :
Number of soldiers = 5000
Cavalry = 2/3
infantry = ?
= 1 - 2/3
= 5000 × 1/3
= 1666.67
So, number of infantry soldiers.is 1667.
Problem 7 :
Leonardo da Vinci's Sketches : Leonardo da Vinci made a collection of 100 sketches. If 1/5 of his sketches were portraits and 2/5 were inventions, how many sketches were neither portraits nor inventions ?
Solution :
Number of sketches = 100
Portraits = 1/5
Inventions = 2/5
Sketches were neither portraits nor inventions = (1 - 1/5 - 2/5)
= 100 × 2/5
= 40
Hence, 40 sketches were neither portraits nor inventions.
Problem 8 :
Marie Curie's Discoveries : Marie Curie made 20 groundbreaking discoveries throughout her career. If 3/4 of her discoveries were in the field of radioactivity, how many discoveries were not related to radioactivity ?
Solution :
Marie Curie made in groundbreaking discoveries = 20
Field of radioactivity = 3/4
Not related to radioactivity = 1 - 3/4
= 20 × 1/4
= 5
So, 5 discoveries were not related to radioactivity.
Problem 9 :
Martin Luther King Jr.'s Speech : Martin Luther King Jr. delivered a speech that lasted 25 minutes. If 1/5 of the speech was dedicated to a specific section, how long was that section ?
Solution :
He is delivered a speech that lasted = 25 minutes
Speech was dedicated to a specific section = 1/5
Length of the section = 25 × 1/5
= 5
Problem 10 :
Helen Keller's Autobiography : Helen Keller wrote an Autobiography that had 120 pages. If 2/5 of the pages were dedicated to her childhood, how many pages were about her childhood ?
Solution :
Number of pages = 120
She was dedicated pages to childhood = 2/5
= 24 × 2
= 48
Hence, 48 pages were about her childhood.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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