Question 526168: Jonathan saved nickles and quarters. he had a total of twenty coins whose value was $1.80. how many of each kind of coin did he have? Found 2 solutions by zoomkaboom4, Alan3354:Answer by zoomkaboom4(62) (Show Source):
You can put this solution on YOUR website! There are 20 coins, nickels and quarters, and the value is $1.80.
You can solve this problem by guessing and checking.
Let's try.
1st attempt: 10(.05)+10(.25)
.50+2.50 = 3.00 (Too high so we probably need to use less quarters.)
2nd attempt: 15(.05)+5(.25)
.75+1.25 = 2.00 (Still a little too high, so use even less quarters.)
3rd attempt: 16(.05)+4(.25)
.80+1.00 = 1.80 (The answer!)
After guessing and checking, The answer is 16 nickels and 4 quarters.
You can put this solution on YOUR website! Jonathan saved nickles and quarters. he had a total of twenty coins whose value was $1.80. how many of each kind of coin did he have?
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n + q = 20 (# of coins)
5n + 25q = 180 (value of coins)
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n + q = 20 (# of coins)
n + 5q = 36 (2nd eqn divided by 5)
---------------------- Subtract
-4q = -16
q = 4 quarters
n = 16 nickels