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Can I please find out what I am doing incorrectly with the following problem?"I have seventy five coins in my pocket made up of quarters and dimes. If the total value of the coins is $12.45, how many of each coin do I have?"
q + d = 75 Let q represent quarters(0.25)q + (0.10)d = 12.45 Let s represent dimes
q = 75 - d
(0.25)(75-d) + (0.10)d = 12.45 q + d = 7518.75 + 0.25d + 0.10d = 12.45 q + (18) = 750.25d + 0.10d = 12.45 - 18.75 q = 75 - 180.35d = 6.3 q = 57d = 18
0.25(57) + 0.10(18) = 12.4514.25 + 1.8 = 16.05
Please help me with this problem: What is the remainder when 314^164 is divided by 165? (Watch out - 165 is not prime!) Please show all work. Thanks in advance for the help.
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