Question

A jar is full of 100 coins. All of the coins are either nickels or dimes.

a. The value of the coins is $6.35. Write a linear system representing this equation.
b. Solve the system to determine how many of each type of coin is in the jar.

Answer 1

73 nickels, 27 dimes

Explanation:

x+y=100

5x+10y=635

x=100-y

5(100-y)+10y=635

500-5y+10y=635

500+5y=635

5y=135

y=27

5x+10(27)=635

5x+270=635

5x=365

73

73+27=100