A storekeeper goes to the bank to get $10.00 worth of change.She requests twice

Question

A storekeeper goes to the bank to get $10.00 worth of change.She requests twice as many quarters as half dollars. Twice as manydimes as quarters, three times as many nickels as dimes, and nopennies or dollars. How many of each coin did the storekeeperget. The teacher gave a hint that looks like this: Here, allowx,2x,4x,12x to be your half dollars, quarters, dimes, and nickelsrespectively. Find the equation from the information you were givento solve for X. Once you do that, you will have the rest of thecoins. A storekeeper goes to the bank to get $10.00 worth of change.She requests twice as many quarters as half dollars. Twice as manydimes as quarters, three times as many nickels as dimes, and nopennies or dollars. How many of each coin did the storekeeperget. The teacher gave a hint that looks like this: Here, allowx,2x,4x,12x to be your half dollars, quarters, dimes, and nickelsrespectively. Find the equation from the information you were givento solve for X. Once you do that, you will have the rest of thecoins.

Explanation / Answer

Let H, Q, D, and N represent the number of half dollars,quarters, dimes and nickels Q = 2H D = 2Q N = 3D Now we can convert them all into one type of coin Since Q = 2H    D = 2(2H) = 4H Since D = 4H    N = 3(4H) = 12 H Now we have everything in terms of the number of halfdollars We also know that it all adds up to $10.00 or 1000cents 50H + 25Q + 10D + 5 N = 1000 use the conversions we came up with to replace everything interms of half dollars 50H + 25(2H) + 10(4H) + 5(12H) = 1000 200H = 1000 H = 5    There were FIVE half dollars Q =2H There were TEN quarters D =4H There were TWENTY dimes N=12H There were SIXTY nickels

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