start out with what you know
-so you have a total of 50 coins
-a quarter is equal to 25c
-a nickel is eqal to 5c
0.25*4=$1.00
0.25*12=$3.00
0.25*16=$4.00
0.25*20=$5.00
0.05*20=$1.00
20+16=36 50-36=14
This might help
i have 50 coins in quarters and nickels. if the total value is $5.90, how many of each coin do i have ?
2 answers
You know you have at least 3 nickels, because only $5.75 can be made with just quarters. So, you have at most 47 quarters.
47 quarters = $11.75
plus 3 nickels = $11.90
That is $6.00 too much.
Each quarter replaced by a nickel reduces the value by 20 cents.
Since you have $6.00 too much, replace 30 quarters with nickels. That leaves
17 quarters + 33 nickels.
$4.25 + $1.65 = $5.90
47 quarters = $11.75
plus 3 nickels = $11.90
That is $6.00 too much.
Each quarter replaced by a nickel reduces the value by 20 cents.
Since you have $6.00 too much, replace 30 quarters with nickels. That leaves
17 quarters + 33 nickels.
$4.25 + $1.65 = $5.90