Question

hunter has a total of $9.60 in dimes and nickels. let n be the number of nickels and d be the number of dimes. hunter knows there are 12 more dimes than nickels. when the money values are in cents, the situation is modeled by this system of equations. 10d+5n=960 d=n+12 solve the system and determine what the solution means in terms of hunter's situation.

Answer 1

9514 1404 393

Answer:

(n, d) = (56, 68)

Hunter has 56 nickels and 68 dimes.

Explanation:

The equations can be solved by using the second equation to substitute for d in the first equation.

10(n +12) +5n = 960

120 +15n = 960 . . . . . . . eliminate parentheses

15n = 840 . . . . . . . . . . . . subtract 120

n = 56 . . . . . . . . . . . . . . . divide by 15

d = 56 +12 = 68 . . . . . . . find d

The solution is n = 56, d = 68. This means Hunter has 56 nickels and 68 dimes.

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The meaning of the solution comes from the definitions of the variables.