Question 733000
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a coin collector has 2.45 in nickels and dimes. She has 5 times as many nickels as dimes. 
How many does she have of each coin?
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This problem is ideal to solve it mentally, without using equations.



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Indeed, according to the problem, we can group the coins in sets, 
each containing 5 nickels and one dime.


Each such set is worth 5*5 + 10 = 35 cents.

Hence, the number of sets is  {{{245/35}}} = 7.


So, the coin collector has 7 dimes and 5*7 = 35 nickels.


<U>CHECK</U>.  7*10 + 35*5 = 245 cents = $2.45.   ! correct !
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Solved.