A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Solve by elimination to find the number of nickels and dimes that are in the jar.

Answer: 31 nickels and 29 dimes

Step-by-step explanation:

Nickels (.05) : x

Dimes (.10) : y

Value:.05x +.10y = 4.45 → - 20 (.05x +.10y = 4.45) → - x - 2y = - 89

Quantity: x + y = 60 → 1 (x + y = 60) → x + y = 60

-y = - 29

y = 29

Next, substitute "29" for "y" into either equation and solve for "x":

x + y = 60

x + 29 = 60

x = 31