9514 1404 393
Answer:
Step-by-step explanation:
The system of equations can be written ...
n + d = 20 . . . . . . . . coins in the jar
5n +10d = 130 . . . . . value in cents
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Using the first equation, we can write an expression for n:
n = 20 -d
We can substitute this into the second equation:
5(20 -d) +10d = 130
100 +5d = 130 . . . . . . simplify
5d = 30 . . . . . . . . . . . . subtract 100
d = 6 . . . . . . . . . . . . divide by 5
n = 20-d = 14
The jar contains 14 nickels and 6 dimes.
