anonymous
  • anonymous
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
Mathematics
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anonymous
  • anonymous
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
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
b?
ybarrap
  • ybarrap
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!
anonymous
  • anonymous
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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