Solving Word Problems Using Algebra (Worksheet)

Solve the following word problems:
a) When 9 is subtracted from a number and then divided by 2, the answer is 4. What is the number?
The number is

b) The length of a rectangle is twice that of the width. The perimeter of the rectangle is 24 cm. What is the width of the rectangle?
The width of the rectangle is cm

c) Marcus, Sally and Sammy decided to share 20 sweets. Marcus took 8 sweets and Sally took three times as many as Sammy. How many sweets did Sammy receive?
Sammy received sweets.

d) If the sum of three consecutive numbers is 72, what is the largest number?
The largest number is

e) Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?
Andy is years old and his father is years old.

f) The length and width of a rectangle are 7 cm and (x - 8) cm respectively. Find the value of x if the area of the rectangle is 42 cm2.
The value of x is cm

g) Carol is y years old and her daughter is 25 years younger.
Find Carol’s present age if the sum of their ages in 6 years’ time is 75 years
Carol’s age is

h) Diana buys 20 apples at x cents each and 40 oranges at x + 10 cents. She packs them into bags containing 5 apples and 10 oranges and sells the bags for 20x cents each.
Find out the amount that Diana paid for each apple if she obtained a total of $24 from selling all the fruits.
The apple cost cents each