SOLUTION: A newspaper carrier has $3.80 in change he has four more quarters than dimes but five as many nickels as quarters how many coins of each type does he have

Question 1130998: A newspaper carrier has $3.80 in change he has four more quarters than dimes but five as many nickels as quarters how many coins of each type does he have
Answer by ikleyn(52915) (Show Source): You can put this solution on YOUR website!
.
A newspaper carrier has $3.80 in change he has four more quarters than dimes but five as many nickels as quarter.
How many coins of each type does he have
~~~~~~~~~~~~~~~~~~~~~~~~

Let Q be the number of quarters.

Then the number of dimes is (Q-4), and the number of nickels is 5Q.


The equation for the total is


    25Q + 10*(Q-4) + 5*(5Q) = 380     cents.


    25Q + 10Q - 40 +25Q = 380

    60Q = 380 + 40 = 420

    Q = 420/60 = 7.


Answer.  7 quarters,  5*7 = 35 nickels  and  7-4 = 3 dimes.


Check.   7*25 + 35*5 + 3*10 = 380 cents  total.   ! Correct !

Solved.

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 $5.70 in change. He has 3 more quarters than dimes but five times (answered by richwmiller)

A newspaper carrier has $4.90 in change. He has five more quarters than dimes but five... (answered by CubeyThePenguin)

A newspaper carrier has $2.20 in change. He has two more quarters than dimes but five... (answered by ewatrrr)

A newspaper carrier has $3.90 in change. He has three more quarters than dimes but five... (answered by stanbon)

A newspaper carrier has $4.60 in change. He has two more quarters than dimes but five... (answered by ikleyn)

A newspaper carrier has $4.60 in change. He has two more quarters than dimes but five... (answered by ikleyn,josgarithmetic)

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)