Question 1200041
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Probably a formal algebraic solution was wanted; the other tutors showed a couple.<br>
But you can get some good mental exercise, and good problem-solving practice, by solving the problem using logical reasoning and simple mental arithmetic -- something like this:<br>
(1) take away the "extra" 4 dimes, leaving equal numbers of nickels and dimes, with a total value of 145-40 = 105 cents
(2) one nickel and one dime together have a value of 15 cents; the number of nickels and dimes required to make 105 cents is 105/15 = 7
(3) that makes 7 nickels and 7 dimes; now add back in the other 4 dimes to give the final answer of 7 nickels and 11 dimes<br>