SIMPLIFYING RATIONAL EXPRESSIONS WORD PROBLEMS
Problem 1 :
Pari needs 4 hours to complete a work. His friend Yuvan needs 6 hours to complete the same work. How long will it take to complete if they work together?
Solution :
Number of hours taken by pari = 4 hours
Number of hours taken by Yuvan = 6 hours
Work done in one hour by Pari = 1/4
Work done in one hour by Pari = 1/6
work done by together in one hour = (1/4) + (1/6)
= (6 + 4)/4(6)
= 10 / 24
= 5/12
Number of hours taken by both = 12/5
Let us convert into minutes = (12/5) 60 = 144 minutes
= 2 hours 24 minutes.
Problem 2 :
Iniya bought 50 kg of fruits consisting of apples and bananas. She paid twice as much per kg for the apple as she did for the banana. If Iniya bought ₹ 1800 worth of apples and ₹ 600 worth bananas, then how many kgs of each fruit did she buy?
Solution :
Let "x" be number of kgs of banana and "2x" be the number of kgs of apple.
Cost of apple = 1800
Number of kgs of apple (cost per kg) = 1800
Number of kgs of apple (2x) = 1800
Number of kgs of apple = 1800/2x = 900/x -----(1)
Number of kgs of banana (cost per kg) = 600
Number of kgs of banana (x) = 600
Number of kgs of apple = 600/x -----(2)
(1) + (2)
(900/x) + (600/x) = 50
(1500 / x) = 50
x = 1500/50
x = 30
By applying x = 30 in (1), we get
Number of kgs of apple = 1800/2(30) = 30
By applying x = 30 in (2), we get
Number of kgs of banana = 600/30 = 20
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WORD PROBLEMS
Word problems on simple equations
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Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
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OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
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