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A boy has 34 coins consisting of nickels and dimes. If the value of the coins is $2.20 .
How many nickels does the boy have ?
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Let's make first trial prediction by assuming for a minute that all 34 coins are nickels - then the total would be 5*34 = 170 cents,
making the shortage of 220 - 170 = 50 cents.
Hence, we should replace = 10 nickels by dimes to compensate the difference
(diminishing the difference of 50 cents by 5 cents at any single replacement).
So, the answer is: the original collection has 10 dimes and 34-10 = 24 nickels.
Check. 24*5 + 10*10 = 220 cents. ! Correct !
You will find there the lessons for all levels - from introductory to advanced,
and for all methods used - from one equation to two equations and even without equations.
Read them and become an expert in solution of coin problems.
