WORD PROBLEMS ON FRACTION OF QUANTITIES

Problem 1 :

2/3 of the birds in my aviary are finches. If there are 24 birds in my aviary, how many finches are there?

Solution :

Total number or birds = 24

Number of birds that are finches = 2/3 of total number of birds

= 2/3 × 24

= 16 finches

So, 16 finches are there in aviary.

Problem 2 :

One morning two fifths of the passengers on my bus were school children. If there were 45 passengers, how many were school children?

Solution :

Total number of Passengers = 45

Total number of children in the bus

= 2/5 of total number of passenger

= 2/5 × 45

= 18 children

So, there are 18 school children on the bus.

Problem 3 :

Richard spent three quarters of his working day installing computers, and the remainder of the time travelling between jobs. If his working day was 8 hours, how much time did he spend travelling?

Solution :

Time taking for installing computers = 3/4 of time spent

Time spent for travelling between jobs = 1/4 of time spent

Working hours = 8 hours

= 1/4 × 8

= 2 hours

Time spent for travelling is 2 hours.

Problem 4 :

When Sasha played netball, she scored a goal with seven eighths of her shots for goal. If she shot for goal 16 times in a match, how many goals did she score?

Solution :

She scores = 7/8 of number of shoots

Number of shoots  = 16 times

= (7/8) × 16

= 14 goals

So, she scored 14 goals in a match.

Problem 5 :

A business hired a truck to transport boxes of equipment. The total weight of the equipment was 3000 kg, but the truck could only carry 5/8 of the boxes in one load.

a.   What weight did the truck carry in the first load?

b.   If there were 80 boxes, how many did the truck carry in the first load?

Solution :

a.

Weight of equipment = 3000 kg

Weight truck can carry 5/8 of the total weight = 5/8 × 3000

= 1875 kg

b.

= 5/8 × 80

= 50 boxes

So, 50 boxes truck carry in the first load.