meganroot19
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Please help fast!! Katrina has $3.60 worth of nickels and dimes. She has 46 coins in total. How many nickels and dimes does she have?

Please help fast Katrina has 360 worth of nickels and dimes She has 46 coins in total How many nickels and dimes does she have class=

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Answer:

20 nickels and 26 dimes

Step-by-step explanation:

  • She has $3.60 in nickels and dimes
  • a nickel is $0.05 and a dime is $0.10
  • let n be the number of nickels and d be the number of dimes
  • thus the first equation is 3.6 = 0.05n +0.1d
  • If she has 46 coins then n + d = 46
  • then n = 46 - d
  • sub n = 46 - d into 3.6 = 0.05n +0.1d
  • 3.6 = 0.05(46 - d) + 0.1d
  • 3.6 = 2.3 -0.05d+0.1d
  • 1.3 = 0.05d
  • 26 = d
  • sub d = 26 into n+d=46
  • n+26=46
  • n=20
  • Check by subbing n=20 and d=26 into 0.05n +0.1d
  • 0.05(20) +0.1(26)
  • 1+2.6 = 3.6

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