mixedprincess4 mixedprincess4

12-02-2019
Mathematics

contestada

you have a Jar full of nickels and dimes there are a total of 117 coins the value of the coins is $8.55 how many of each do you have?

Respuesta :

19-02-2019

n= each nickle = 0.05 dollars

d= each dime = 0.1 dollars

so

[tex]0.05n + 0.1d = 8.55[/tex]

and

[tex]n + d = 117[/tex]

[tex]d = 117 - n[/tex]

solving the 2 equations for the 2 variables:

[tex]0.05n + 0.1(117 - n) = 8.55[/tex]

[tex] - 0.05n = 8.55 - 11.7 = - 3.15[/tex]

[tex]n = \frac{ - 3.15}{ - 0.05} = 63 \: nickles[/tex]

[tex]n + d = 117[/tex]

[tex]d = 117 - 63 = 54 \: dimes[/tex]

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