SOLUTION: A youth organization collected nickels and dimes for a charity drive. by the end of the 1st day s drive, the youth had collected 56.35. If there were three times as many dimes as n
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Question 236095: A youth organization collected nickels and dimes for a charity drive. by the end of the 1st day s drive, the youth had collected 56.35. If there were three times as many dimes as nickels, how many of each type of coin was collected?
Please Help Answer by JimboP1977(311) (Show Source):
You can put this solution on YOUR website! Dime = 0.1 = D
Nickel = 0.05 = N
D:N = 3:1 = 0.30 : 0.05
So we have a certain unknown number multiplied by 3 lots of Dimes plus 1 lot of Nickels equals 56.35 or using algebra:
x * (0.30 + 0.05) = 56.35
We need to know what x is so we rearrange by dividing both sides by 0.35 which gives x as 161.
This tells us that 161 coins were nickels and three times this amount were dimes. So 483 were dimes.
To double check:
161 * 0.05 = $8.05
483 * 0.10 = $48.30
Total = $56.35
Does this help?
