SOLUTION: a newspaper carrier has $6.30 in change. he has three times more quarters than dimes but four times as many nickles as quarters. how many coins of each type does he have?

Algebra.Com
Question 947560: a newspaper carrier has $6.30 in change. he has three times more quarters than dimes but four times as many nickles as quarters. how many coins of each type does he have?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a newspaper carrier has $6.30 in change. he has three times more quarters than dimes but four times as many nickles as quarters. how many coins of each type does he have?
Equations::
5n + 10d + 25q = 630 cents
q = 3d
n = 4q
-----
Substitute for n and d and solve for "q"::
5(4q) + 10(q/3) + 25q = 630
----
Multiply thru by 3 to get:
60q + 10q + 75q = 1890
145q = 1890
q = 13.034..
Note: q must be a whole number.
Please check the accuracy of your post.
Cheers,
Stan H.
-------------

RELATED QUESTIONS

a newspaper carrier has 12.30 in change. He has two more quarters than dimes but three... (answered by ewatrrr)
a newspaper carrier has $4.90 in change. He has five more quarters than dimes but two... (answered by josgarithmetic,algebrahouse.com,ikleyn)
newspaper carrier $6.85 in change 3 more quarters than dimes but four times as many... (answered by josgarithmetic)
A newspaper carrier has $3.55 in change. He has three more quarters than dimes but four... (answered by josgarithmetic,ikleyn)
a newspaper carrier has $2.60 in change. He has four more quarters than dimes but three... (answered by CubeyThePenguin)
a newspaper carrier has $3.35 in change. He has seven more quarters than dimes but two... (answered by LinnW)
A newspaper carrier has $4.70 in change. He has seven more quarters than dimes but two... (answered by CubeyThePenguin)
a newspaper carrier has $4.25 in change. He has seven more quarters than dimes but four... (answered by mananth)
A newspaper carrier has $3.80 in change. He has six more quarters than dimes, but four... (answered by josmiceli)