Question 226298
A collection of nickels and quarters amounts to $2.60. There are 16 coins in all. How many of each coin are there?


Step 1.  Let x be the number of nickels


Step 2.  Let 16-x be the number of quarters since there are 16 coins in all.


Step 3.  Let 0.05x be the dollar value of nickels.


Step 4.  Let 0.25(16-x) be the dollar value of quarters.


Step 5.  Then, 0.05x+0.25(16-x)=2.60 be the total dollar value of 2.60.


Step 6.  Solving the equation in Step 5 yields the following steps:


*[invoke explain_simplification "0.05x+0.25(16-x)=2.60" ]


With x=7 then 16-x=9


Check the total dollar value  0.05*7 + 0.25*9 =0.35+2.25=2.60 which is a true statement.


Step 7.  ANSWER:  The number of nickels is 7 and the number of quarters is 9.


I hope the above steps and explanation were helpful.


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Respectfully,
Dr J

http://www.FreedomUniversity.TV