SOLUTION: In a collection of 60 coins, the number of half dollars is 1/3 the number of dimes. The number of quarters is 10 less than the number of dimes, find the value of the collection.

Question 486358: In a collection of 60 coins, the number of half dollars is 1/3 the number of dimes. The number of quarters is 10 less than the number of dimes, find the value of the collection.
I am having difficulty dividing the 1/3. Somewhere I am missing a step. I know:
D divided 1/3= half dollars
D - 10 = Quarters
how do I solve D with the 1/3rd fraction?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
In a collection of 60 coins, the number of half dollars is 1/3 the number of dimes. The number of quarters is 10 less than the number of dimes, find the value of the collection.

total coins ---- 60
dimes = x
half dollar = (1/3)*x
Quarters ----(x-10)
x+x/3 + x-10=60

whenever you have such an addition of fraction the simplest step I will try to teach you
Find the LCD of the denominator and multiply the entire equation by the LCD.
Here the LCD is 3
3*2x+(x/3)*3 -10*3=60*3
6x+x-30=180
7x-30=180
7x= 210
/7
x=30 the number of dimes
Half dollar = 30 * x/3= 10
quarter = x-10 ==> 30-10=20
m.ananth@hotmail.ca

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