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anonymous

  • one year ago

Anatoliy has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Anatoliy has? A. n = q = 22 0.05n + 0.25q = 104 B. n + q = 104 5n + 25q = 22 C. n + q = 104 0.05n + 0.25q = 22 D. n + q = 22 5n + 25q = 104

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  1. anonymous
    • one year ago
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    b?

  2. ybarrap
    • one year ago
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    You know for each nickel you have 5 pennies and for every quarter you have 25 pennies. So to see how many nickels and pennies you need to count. 5 pennies times the number of nickels plus 25 pennies times the number of quarters equals 22 dollars. But 5 pennies is .05 of a dollar and 25 pennies is .25 of a dollar so .05 * p + .25 * n = 22 dollars. You also know, physically, in your hand, you have n + q coins that equal 104 in total. That's it!

  3. anonymous
    • one year ago
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    C. Use the following to avoid decimal numbers: {5 n + 25 q = 2200, n + q = 104} // Solve {n -> 20, q -> 84}

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