I have 54 coins in my pocket; some of them are quarters and the rest are nickels. In total, the coins are worth $6.10. How many of each coin do I have?

Guest Mar 28, 2020

#2**+1 **

I have 54 coins in my pocket; some of them are quarters and the rest are nickels. In total, the coins are worth $6.10. How many of each coin do I have?

d+n=54

10d+5n=610

now solve simultaneously.

Melody Mar 28, 2020

#3**+1 **

*I have 54 coins in my pocket; some of them are quarters and the rest are nickels. In total, the coins are worth $6.10. How many of each coin do I have?*

You have 54 coins. If they were all nickels, you'd have 2**.**70

2**.**70 is 3**.**40 short of 6**.**10 so you need to replace some of the nickels with quarters.

Every time you replace a quarter with a nickel, you gain 0**.**20

How many 0**.**20 gains do you need to increase your total by 3**.**40?

3**.**40/0**.**20 = 17 so it takes 17 of those gains to make 3**.**40 so you have **17 quarters**

The remaining number of coins is 54 – 17 = 37 so you have **37 nickels**

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Guest Mar 28, 2020