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Need Help!! System of Linear Equations?
Leona has nickels and dimes in a jar. The number of nickels is 4 times the number if dimes. the total number if nickels and dimes is 30. If n=nickels and d=dimes, make a write a system of equations and find the number of nickels and dimes that leona has. Make 2 equations, I already got 6 dimes and 24 nickels, but I need the two equations that got the answer
1 Answer
- ?Lv 71 decade agoFavorite Answer
You know the number of nickels is 4 times the number of dimes:
n = 4d
...and you know the total number of nickels and dimes is 30:
n + d = 30
Substitute the first equation into the second equation and solve for d:
4d + d = 30
5d = 30
d = 30/5 = 6
Now substitute d = 6 into the first equation to get the number of nickels:
n = 4d = 4(6) = 24
Yup, there are 6 dimes and 24 nickels.
