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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?

A youth organization collected nickels and dimes for a charity drive. By the end of the 1st day drive the youth had collected 42.35, If there were 3 times as many dimes as nickels how many of each type of coin was collected?

### 2 Answers by Expert Tutors

Nancy K. | A-1 Experienced Resource Teacher - All Grades A-1 Experienced Resource Teacher - All G...
4.0 4.0 (1 lesson ratings) (1)
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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
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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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