SOLUTION: Tanisha has 70 coins, all quarters and dimes. There are 30 more quarters than dimes. Find the number of each type of coin.

Question 147412: Tanisha has 70 coins, all quarters and dimes. There are 30 more quarters than dimes. Find the number of each type of coin.
Answer by 24HoursTutor.com(40) (Show Source): You can put this solution on YOUR website!
Total number of coins = 70
Let the number of quarters be x
Let the number of dimes be y
So, x+y=70
Now, its given that there are 30 more dimes than quarters, which means if we add 30 to the number of dimes we should get the number of quarters. Thus, we have an equation which looks like :
x(the no. of quarters) = 30 + y(the number of dimes)
Now, substituting this value in our earlier equation we can re-write it as :
x+y = 70
30+y + y = 70
30+2y=70
2y=70-30
2y=40
y=40/2
y=20
x=30+y=30+20=50
Ans: The number of quarters = x = 50
The number of dimes = y = 20
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