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?
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.
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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