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There are 205 coins in a jar all of which are either nickels or
quarters. The value of the coins in the jar is $31.85.
If both of these statements are true, how many nickels are in
the jar?
Enter the answer

There are 97 nickels in the jar

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of coins = 205

Number of nickels = x

Number of quarters = 205 - x

Value of the 205 coins = $ 31.85

2. If both of these statements are true, how many nickels are in  the jar?

Let's solve for x, this way:

0.05x + 0.25 (205 - x) = 31.85

0.05x + 51.25 - 0.25x = 31.85

-0.2x = 31.85 - 51.25

-0.2x = - 19.4

x = -19.4/-0.2

x = 97 ⇒ 205 - x = 108

There are 97 nickels and 108 quarters in the jar

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