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anonymous

  • one year ago

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?

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  1. freckles
    • one year ago
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    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?

  2. freckles
    • one year ago
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    how many coins does carter have?

  3. anonymous
    • one year ago
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    37 so do you put D+N=37?

  4. freckles
    • one year ago
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    yes because that is all he has is dimes and nickels

  5. freckles
    • one year ago
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    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

  6. freckles
    • one year ago
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    so we are given .05*N+.1*D=?

  7. anonymous
    • one year ago
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    .05n+.1d=3.10

  8. freckles
    • one year ago
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    right \[\text{ we have the following system \to solve } \\ N+D=37 \\ .05 N+.1D=3.1\]

  9. freckles
    • one year ago
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    if you don't like the decimal action in the second equation multiply both sides by 100 giving you 5N+10D=310

  10. freckles
    • one year ago
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    you could also divide both sides of that equation by 5 giving you N+2D=310/5

  11. freckles
    • one year ago
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    310/5=62

  12. freckles
    • one year ago
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    you have the system is: N+D=37 N+2D=62 surely this looks less ugly to solve

  13. freckles
    • one year ago
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    the question ask you to solve for the number of dimes aka what we called D

  14. freckles
    • one year ago
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    You could solve the first equation for N and then replace the second equation's N with what you found from the first

  15. anonymous
    • one year ago
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    ok i got it mow thanks for the help

  16. freckles
    • one year ago
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    meow

  17. freckles
    • one year ago
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    i mean np

  18. freckles
    • one year ago
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    sorry mow made me think of meow i know you meant now though

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