Problem 1 :
A fruit merchant bought mangoes in bulk. He sold 5/8 of the mangoes. 1/16 of the mangoes were spoiled. 300 mangoes remained with him. How many mangoes did he buy?
Problem 2 :
A family requires 2½ liters of milk per day.How much milk would family require in a month of 31 days?
Problem 3 :
A ream of paper weighs 12½ kg What is the weight per quire, if 20 quire make one ream?
Problem 4 :
It was Richard's birthday. He distributed 6 kg of sweets among her friends. If he gave 1/8 kg of sweet to each. How many friends were there?
Problem 5 :
6 students went on a picnic. One student agreed to bear half of the expenses. The remaining 5 students shared the remaining expenses equally. What fraction of the total expenses does each of 5 students pay?
Problem 6 :
I have 2½ times money that David has. If I have $100, how much money does David have?
Problem 7 :
In a basket there are two kinds of sweet packets. There are 7 packets of the first kind each weighing 1¼ kg and 9 packets of the second kind each weighing 3/4 kg . What is the total weight of the sweets in the basket?
Problem 8 :
How many half-liter bottles can be filled from a can containing 37½ liters of milk?
Problem 9 :
A gentleman bought 200 liters of milk for a function. 4/5 of it was used for preparing candies. 3/4 of the remaining milk was used for preparing coffee. How much of the milk is remaining?
Problem 10 :
Two third of a tank can be filled in 18 minutes. How many minutes will it require to fill the whole tank?
Answer (1) :
Let x be the number of mangoes that the merchant bought.
Number of mangoes sold is
= (5/8) ⋅ x
= 5x / 8
Number of mangoes spoiled is
= (1/16) ⋅ x
= x / 16
Number of mangoes remaining is 300.
Then, we have
x - (5x/8 + x/16) = 300
x - (10x/16 + x/16) = 300
x - 11x/16 = 300
16x/16 - 11x/16 = 300
(16x - 11x) / 16 = 300
5x / 16 = 300
Multiply each side by 16.
5x = 4800
Divide each side by 5
x = 960
So, the number of mangoes bought by the merchant is 960.
Answer (2) :
Milk required per day is 2½ liters.
Then, number of liters of milk required for 31 days is
= 31 ⋅ 2½
= 31 ⋅ 5/2
= 155/2
= 77½
So, the family would require 77½ liters of milk for 31 days.
Answer (3) :
Weight of 1 ream of paper = 12½ kg
Because one ream is equal to 20 quire, we have
Weight of 20 quire paper = 12½ kg
Weight of 1 quire paper = (12½) ÷ 20 kg
Weight of 1 quire paper = (25/2) ÷ 20 kg
Weight of 1 quire paper = 25/(2 ⋅ 20) kg
Weight of 1 quire paper = 25/40 kg
Weight of 1 quire paper = 5/8 kg
Answer (4) :
Total quantity of sweet distributed is 6 kg.
If each friend receives 1/8 kg, then the number of friends is
= 6 ÷ (1/8)
= 6 ⋅ 8
= 48
So, 48 friends were there.
Answer (5) :
Let x be the total expense
Given : One student agreed to bear half of the expenses.
So, the remaining expenses is x/2.
Given : The remaining expenses is shared by 5 students equally.
Then, the share of each student is
= (x/2) ÷ 5
= x / 10
= (1/10) ⋅ x
So, 1/10 of the total expenses is shared by each of 5 students.
Answer (6) :
Let x be the money that David has.
Then, we have
(2½) ⋅ x = 100
(5/2) ⋅ x = 100
5x / 2 = 100
Multiply each side by 2.
5x = 200
Divide each side by 5.
x = 40
So, David has $40.
Answer (7) :
First Kind :
Weight of each packet is 1¼ kg.
Number of packets is 7.
Then, the total weight is
= 7 ⋅ (1¼) kg
= 7 ⋅ (5/4) kg
= 35/4 kg -----(1)
Second Kind :
Weight of each packet is 3/4 kg.
Number of packets is 9.
Then, the total weight is
= 9 ⋅ (3/4) kg
= 27/4 kg -----(2)
Weight (1st kind) + Weight (2nd kind) = 35/4 + 27/4
Weight (1st kind) + Weight (2nd kind) = (35 + 27) / 4
Weight (1st kind) + Weight (2nd kind) = 62 / 4
Weight (1st kind) + Weight (2nd kind) = 15 1/2
So, the total weight of sweets in the basket is 15 1/2 kg.
Answer (8) :
Total quantity of milk is 37½ liters.
Number of half liter bottles can be filled is
= (37½) ÷ (1/2)
= (75/2) ÷ (1/2)
= (75/2) ⋅ (2/1)
= 75
So, 75 half-liter bottles can be filled.
Answer (9) :
Total quantity of milk is 200 liters. fraction word problems 9
Milk used for preparing candies is
= (4/5) ⋅ 200
= 160 liters
Remaining milk (after milk used for preparing sweets) is
= 200 - 160
= 40 liters
Given : 3/4 of the remaining milk was used for preparing coffee.
So, the quantity of milk was used for preparing coffee is
= (3/4) ⋅ 40
= 30 liters
Milk used for preparing candies and coffee is
= 160 + 30
= 190 liters
Remaining quantity of milk (after milk used for preparing sweets and coffee) is
= 200 - 190
= 10 liters
Answer (10) :
Let x be the capacity of the whole tank.
Given : Two third of a tank can be filled in 18 minutes
Then, we have
(2/3) ⋅ x -----> 18 minutes
x -----> 18 ⋅ (3/2) minutes
x -----> 27 minutes
So, it will take 27 minutes to fill the whole tank.
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