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If there was $42.35 in nickels and dimes and there were 3 times as many dimes as nickels how many of each type of coin was collected?

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2 Answers

Let x = the number of nickels collected.  Therefore, 3x = the number of dimes collected.  
 
.05x + .10(3x) = 42.35
 
Simplify:
.05x + .3x = 42.35
 
Combine like terms:
.35x = 42.35
 
Divide both sides by .35
x = 121 and 3x = 363
 
121 nickels = $6.05
363 dimes = $36.30
 
Total amount = $42.35
Hi Brandon;
x=quantity of nickles
3(0.10)x+(0.05)x=42.35
0.30x+0.05x=42.35
0.35x=42.35
Let's divide both sides by 0.35 as we proceed to isolate x...
(0.35x)/0.35=42.35/0.35
x=121
 
121 nickles
363 dimes
 
Let's check our work...
121(0.05)+363(0.10)=42.35
6.05+36.30=42.35
42.35=42.35