anonymous
  • anonymous
Carter has 37 coins, all nickels and dimes in the piggy bank. The value of the coins is $3.10. How many dimes does carter have?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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freckles
  • freckles
so one equation can be made from the first sentence and another equation can be made from the second sentence let N= number of nickels let D= number of dimes you are given N+D is?
freckles
  • freckles
how many coins does carter have?
anonymous
  • anonymous
37 so do you put D+N=37?

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freckles
  • freckles
yes because that is all he has is dimes and nickels
freckles
  • freckles
now a nickel is 5 cents or .05 dollars and a dime is 10 cents or .10 dollars also can be read as .1 dollars
freckles
  • freckles
so we are given .05*N+.1*D=?
anonymous
  • anonymous
.05n+.1d=3.10
freckles
  • freckles
right \[\text{ we have the following system \to solve } \\ N+D=37 \\ .05 N+.1D=3.1\]
freckles
  • freckles
if you don't like the decimal action in the second equation multiply both sides by 100 giving you 5N+10D=310
freckles
  • freckles
you could also divide both sides of that equation by 5 giving you N+2D=310/5
freckles
  • freckles
310/5=62
freckles
  • freckles
you have the system is: N+D=37 N+2D=62 surely this looks less ugly to solve
freckles
  • freckles
the question ask you to solve for the number of dimes aka what we called D
freckles
  • freckles
You could solve the first equation for N and then replace the second equation's N with what you found from the first
anonymous
  • anonymous
ok i got it mow thanks for the help
freckles
  • freckles
meow
freckles
  • freckles
i mean np
freckles
  • freckles
sorry mow made me think of meow i know you meant now though

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