Alyssa emptied out her change jar to buy a new binder for school. she found 147 coins consisting of dimes and nickels that totaled 11.65. write a system of equations that could be used to determine how many dimes, d, and how many nickels, n, alyssa had in her change jar.

Question

Lucille Tate

Mathematics

29 July, 19:34

Alyssa emptied out her change jar to buy a new binder for school. she found 147 coins consisting of dimes and nickels that totaled 11.65. write a system of equations that could be used to determine how many dimes, d, and how many nickels, n, alyssa had in her change jar.

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Antonio Conley · Answer 1

For this item, we let x be the number of dimes and y be the number of nickels. The sum of these numbers should be 147.

x + y = 147

Also, the equivalent of a dime is 10 cents and that of nickel is 5 cents. The equation that would best represent this is,

0.1x + 0.05y = 11.65

The values of x and y are 86 and 61, respectively.