SOLUTION: A store keeper goes to the bank to get $10 worth of change. He requests twicew as many quarters as half dollars, twice as many dimes as qurters, 3 times as many nickles as dimes,
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Question 12585: A store keeper goes to the bank to get $10 worth of change. He requests twicew as many quarters as half dollars, twice as many dimes as qurters, 3 times as many nickles as dimes, and no pennies or dollars. How many of each coin did the storekeeper get?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Let x = number of half dollars
2x = number of quarters
2(2x) = 4x = number of dimes
3(4x) = 12x = number of nickels
Total value, multiply number of coins times the value of each coin in cents, and the total value of the coins is $10 or 1000 cents. (Doesn't it make "cents" to do it this way??)
50(x) + 25(2x) + 10(4x) + 5(12x) = 1000
50x + 50x + 40x + 60x = 1000
200x = 1000
x= 5 Half dollars
2x = 10 Quarters
4x = 20 Dimes
12x = 60 Nickels
Check: Does it add up to $10.00??? You tell me!!
R^2 at SCC
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