You have $3.70 in dimes and quarters. You have 5 more quarters than dimes. How many of each type of coin do you have?
asked Oct 6, 2017 in Algebra 1 Answers by anonymous

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

2 Answers

You have $3.70 in dimes and quarters. You have 5 more quarters than dimes. How many of each type of coin do you have?

Let there be D dimes and Q quarters

Then D * 10 + Q * 25 = 370

Also Q = D + 5    (there are 5 more quarters than dimes)

Then,

10D + 25(D + 5) = 370

10D + 25D + 125 = 370

35D = 245

5D = 35

D = 7,   Q = 12

answered Oct 6, 2017 by Fermat Level 11 User (80,500 points)
Let D be the number of dimes, worth 10D cents, and Q the number of quarters, worth 25Q cents.

$3.70=370 cents.

10D+25Q=370. Also Q=D+5 so 10D+25(D+5)=370, 10D+25D+125=370; 35D=245, D=7 and Q=12.

CHECK: 70+300=$370.
answered Oct 6, 2017 by Rod Top Rated User (592,640 points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,851 questions
86,190 answers
2,224 comments
69,792 users