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Noah has $4.25 in nickels and dimes. If he has 54 coins altogether, how many of each does he have

 Sep 8, 2020
 #1
avatar+126 
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Let n be the number of nickels and d be the number of dimes. We have

 

n+d=54 --> 5n+5d=270

5n+10d=425

 

5d=425-270=155 --> d=31 --> n=23

 Sep 8, 2020
 #2
avatar+230 
+1

From the follwoing information, we construct the equations:

5n+10d=425

n+d=54

Using the method of substitution:

5n+10(54-n)=425

5n+540-10n=425

-5n=-115

n=23 and d=31 this is our final answer.laugh

 Sep 8, 2020

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