SOLUTION: A storeKeeper goes to the bank to get $10 worth of change. She requests twice as many quarters as half dollars, twice as many dimes as quarters, three times as many nickels as dime
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Question 257367: A storeKeeper goes to the bank to get $10 worth of change. She requests twice as many quarters as half dollars, twice as many dimes as quarters, three times as many nickels as dimes, and no pennies or dollars. How many of each coin did the storekeeper get? Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! From the given we can create several equations:
(i)
(ii) Q = 2H
(iii) D = 2Q
(iv) N = 3D
Substituting everything in for the variable H, we get
(v)
solving, we get
(vi)
(vii)
so,
Q = 2H = 2*5 = 10
D = 2Q = 2*10 = 20
N = 3D = 3*20 = 60.
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checking we get
5(60) + 10(20) + 25(10) + 50(5) = ????
300 + 200 + 250 + 250 = 1000
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