SOLUTION: Mary has $4.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and twenty-five more nickels than dimes, how many coins of each type does she have?

Question 954026: Mary has $4.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and twenty-five more nickels than dimes, how many coins of each type does she have?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Q=quarters; D=dimes=2Q; N=nickels=D+25=2Q+25
$0.25Q+$0.10D+$0.05N=$4.00 Substitute for D and N.
$0.25Q+$0.10(2Q)+$0.05(2Q+25)=$4.00
$0.25Q+$0.20Q+$0.10Q+$1.25=$4.00 Subtract $1.25 from each side.
$0.55Q=$2.75 Divide each side by $0.55
Q=5 ANSWER 1:There were 5 quarters
D=2Q=10 ANSWER 2: There were 10 dimes.
N=D+25=35 ANSWER 3:There were 35 nickels.
CHECK:
$0.25Q+$0.10D+$0.05N=$4.00
$0.25(5)+$0.10(10)+$0.05(35)=$4.00
$1.25+$1.00+$1.75=$4.00
$4.00=$4.00
RELATED QUESTIONS
Mary has $5.00 in nickels, dimes, and quarters. If she has twice as many dimes as... (answered by ankor@dixie-net.com)

Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as... (answered by bubblz190)

Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as... (answered by nerdybill)

Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as... (answered by checkley77)

mary has 3.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters (answered by stanbon)

mary has 3 dollars in nickels dimes and quarters. if she has twice as many dimes as... (answered by lynnlo)

Mary has $3.00 nickels, dimes and quarters. If she has twice as many as dimes as quarters (answered by richwmiller)

Mary has $6.00 in nickels, dimes, and quarters. If she has twice as many dimes as... (answered by josmiceli)

Mary has $6.00 in nickels, dimes, and quarters. If she has twice as many dimes as... (answered by solver91311)