# Mathematics Word Problem Questions, Explanation and Detailed Step-By-Step Solutions On Fractions For J.H.S and B. E.C.E Candidates Mathematics is one of the core subject in the Junior High School Curriculum. Below are sample step-by-step standard Mathematics word problem questions, explanation and detailed step by step solutions on fractions for J.H. S and B.E.CE candidates to pass with ease. The questions can be used as both objectives and theory ( Section B). This is because I have provided detailed solution for each question for students easy understanding

(1) Efua used 4/5 of her money to buy exercise books and 15% of the remaining to buy pencils. What is the total fraction of her money spent on both items?
A. 11/25
B. 1/25
C. 3/20
D. 19/20

Explanation: Given the fraction spent on exercise books 4/5 and 15%= 15/100 spent on pencils, add the two fractions to get the total fraction of her money spent on the two items.

Solution
Fraction spent on books= 4/5
Fraction spent on pencils= 15%=15/100
Total fraction= 4/5+15/100. Find the L.C.M of 5 and 100
4/5 + 15/100 and divide all by the L.C.M
=> (100/5)×4 +(100/100)×15
=> (80+15)/100
=> 95/100
Reduce 95/100 to it’s simplest form by dividing each number by 5
=> 95 /100
=> 19/20 hence, the correct answer is D

(2) There are 500 people in an area. 3/5 of them are males and the remaining are females. Find the fraction of the total number of people in the area who are females.
A. 1/2
B. 3/5
C. 2/5
D. 4/5

Explanation: Given 500 as the total number of people and 3/5 representing males, the fraction of females is calculated by first finding the number of males using it’s fraction. Afterwards, subtract it from the total number of people in the area to get the number of females and then, divide the number of females by the total number of people in the area to get the fraction.

Solution
Total people = 500
Fraction of males = 3/5
Number of males = Fraction of males × Total people
=> 3/5 × 500
=> 300
Number of females= Total people- Number of males
=> 500 – 300
=> 200
Fraction of females= Number of females ÷ Total number of people
=> 200÷500= 200/500 cancel out
=> 2/5 hence, the correct answer is option C

(3) The maximum points allocated for an English test is 240. Osei obtained 5/8 of the total number of allocated points. What was his score?
A. 35
B. 230
C. 200
D. 150

Explanation: Given the total allocated points 240 and and the fraction obtained, 5/8, his total score is calculated by multiplying the fraction of his score by the total allocated points for the English test.

Solution
Total allocated points = 240
Fraction of marks obtained = 5/8
Osei’s score = fraction of marks obtained × Total allocated points
=> 5/8 ×240 cancel out
=> 5×30
=> 150
Therefore, Osei’s score of the English test was 150 hence, the correct answer is option D

In a prayer center, 3/10 of the people are males. 2/3 of the males are not married. If there are 480 people at the prayer center, use the information above to answer question 4 – 5

(4) The number of married men are….
A. 144
B. 96
C. 48
D. 336

Explanation: To begin, you first find the number of males out of the total people at the prayer center with the given fraction and the number of males who are not married. The married men is given by subtracting the number of men who are not married from the total number of males at the prayer center.

Solution
Fraction of men at the prayer center = 3/10
Total number of people = 480
Number of men = Fraction of men × Total number of people
=> 3/10 × 480 cancel out the zeros
=> 3 × 48
=> 144
Men not married = Fraction of males not married × Number of males
=> 2/3 × 144 cancel out
=> 2×48
=> 96
Therefore, there are 96 men who are not married
Number of married men = Total number of men – Total number of men who are not married
=> 144-96
=> 48
Therefore, 48 men are married hence, the correct answer is option C

(5) What fraction of the total number of men are married?
A. 1/10
B. 1/3
C. 2/5
D. 3/10