A purse contains $2.05 in nickels, dimes, and quarters. There are twice as many nickels as dimes and three fewer quarters than nickels. Determine how many of each coin are in the purse.
2006-11-30 03:13:43 · 2 answers · asked by swweeeetttt 1 in Education & Reference ➔ Primary & Secondary Education
x = dimes
2x = nickels
2x-3 = quarters
Now multiply in the values of the coins:
.10(x) for dimes .10x
.05(2x) for nickels .10x
.25(2x-3) for quarters .50x-.75
all of which sums to 2.05.
Multiply everything by 100 to get rid of the pesky decimals and you get to:
10x + 10x + 50x - 75 = 205
70x = 280
x = 4
SO.....
There are 4 dimes for 40 cents
there are 8 nickels for 40 cents
and there are 5 quarters for 1.25
For a grand total of 2.05.
Happy happy!!
2006-11-30 03:31:52 · answer #1 · answered by dpbmab 2 · 0⤊ 0⤋
8 nickels, 4 dimes, 5 quarters
2006-11-30 11:21:04 · answer #2 · answered by Justin B 2 · 0⤊ 1⤋